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INDEX TO VOLUME 125 (1997)

Abdulrahim, Mohammad N. A faithfulness criterion for the Gassner representation of the purebraid group, 1249. Complex specializations of the reduced Gassner representation of the pure braid group,

1617Abhyankar, Shreeram S. Local fundamental groups of algebraic varieties, 1635

. Projective polynomials, 1643Acharyya, S. K., Chattopadhyay, K. C., and Ghosh, D. P. On a class of subalgebras of C(X)

and the intersection of their free maximal ideals, 611Adachi, Toshiaki. See Maeda, Sadahiro

Adler, Jeffrey D. Self-contragredient supercuspidal representations of GLn, 2471

Aikawa, Hiroaki. Densities with the mean value property for harmonic functions in a Lipschitzdomain, 229

Aimar, H., Forzani, L., and Martın-Reyes, F. J. On weighted inequalities for singular integrals,2057

Akbulut, S. A note on a homology sphere, 625Akivis, Maks A., and Goldberg, Vladislav V. A conformal differential invariant and the confor-

mal rigidity of hypersurfaces, 2415Anand, P. V. S. See Murty, K. N.Andersen, Jørgen Ellegaard. Fixed points of the mapping class group in the SU(n) moduli spaces,

1511

Anderson, D. D., and Roitman, Moshe. A characterization of cancellation ideals, 2853Anderson, G. D., and Qiu, S.-L. A monotoneity property of the gamma function, 3355∗Anderson, James W., and Reid, Alan W. Commensurability of Fuchsian groups and their axes,

941Anoussis, M., and Katsoulis, E. G. Factorisation in nest algebras, 87Apostolov, Vestislav, Ganchev, Georgi, and Ivanov, Stefan. Compact Hermitian surfaces of con-

stant antiholomorphic sectional curvatures, 3705

Archbold, Robert J., and Kaniuth, Eberhard. Simply connected nilpotent Lie groups with quasi-standard C∗-algebras, 2733

Arendt, Wolfgang, El Mennaoui, Omar, and Hieber, Matthias. Boundary values of holomorphicsemigroups, 635

Armstrong, Grant F., Cairns, Grant, and Jessup, Barry. Explicit Betti numbers for a family ofnilpotent Lie algebras, 381

Arnal, Didier, and Ludwig, Jean. Q.U.P. and Paley-Wiener properties of unimodular, especiallynilpotent, Lie groups, 1071

Ash, Avner. Galois representations and Hecke operators associated with the mod p cohomologyof GL(1, Z) and GL(2, Z), 3209

Ash, J. Marshall, Wang, Gang, and Weinberg, David. A Cantor-Lebesgue theorem with variable

“coefficients”, 219Azarpanah, F. Intersection of essential ideals in C(X), 2149

Babikov, M. Isotopy and identities in alternative algebras, 1571Bachman, Gennady. On an optimality property of Ramanujan sums, 1001Baeza, R., and Icaza, M. I. On Humbert-Minkowski’s constant for a number field, 3195Bak, Jong-Guk, and McMichael, David. Convolution of a measure with itself and a restriction

theorem, 463Bak, Jong-Guk. Sharp estimates for the Bochner-Riesz operator of negative order in R2, 1977Ballico, E. On the number of components of the moduli schemes of stable torsion-free sheaves

on integral curves, 2819Balogh, Zoltan, and Leuenberger, Christoph. Lempert mappings and symplectic forms, 3289

Bankston, Paul. Co-elementary equivalence, co-elementary maps, and generalized arcs, 3715Barberis, Marıa Laura. Hypercomplex structures on four-dimensional Lie groups, 1043

Barros, Manuel. General helices and a theorem of Lancret, 1503Bartoszynski, Tomek. Splitting number, 2141Bauer, Thomas. Smooth Kummer surfaces in projective three-space, 2537Bavinck, H. Differential operators having Sobolev type Laguerre polynomials as eigenfunctions,

3561Beardon, A. F. The Schwarz-Pick Lemma for derivatives, 3255

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Beckhoff, Ferdinand. Topologies on the ideal space of a Banach algebra and spectral synthesis,2859

Beidar, K. I., Puczy lowski, E. R., and Smith, P. F. Krull dimension of modules over involutionrings. II, 355

Bekiranov, Daniella, Ogawa, Takayoshi, and Ponce, Gustavo. Weak solvability and well-posednessof a coupled Schrodinger-Korteweg de Vries equation for capillary-gravity wave interac-tions, 2907

Belinsky, E. S. Summability of Fourier series with the method of lacunary arithmetical means

at the Lebesgue points, 3689Benayadi, Said. A new characterization of semisimple Lie algebras, 685

Benjamin, Diane. Coprimeness among irreducible character degrees of finite solvable groups,2831

Bennett, Curtis D. Explicit free subgroups of Aut(R,≤), 1305

Berenstein, Carlos A., Tarabusi, Enrico Casadio, and Kurusa, Arpad. Radon transform on spacesof constant curvature, 455

Berg, Christian, and Duran, Antonio J. Measures with finite index of determinacy or a mathe-matical model for Dr. Jekyll and Mr. Hyde, 523

Bergen, Jeffrey, and Grzeszczuk, Piotr. Invariants of skew derivations, 3481Berkani, M., and Ouahab, A. Theoreme de l’application spectrale pour le spectre essentiel quasi-

Fredholm, 763Berkovich, Yakov. On Isaacs’ three character degrees theorem, 669Berkson, Earl, Paluszynski, Maciej, and Weiss, Guido. Wavelet decompositions of Fourier mul-

tipliers, 2395Bermudez, Teresa, Gonzalez, Manuel, and Martinon, Antonio. Stability of the local spectrum,

417Bessaga, Czes law, and Dobrowolski, Tadeusz. Affine and homeomorphic embeddings into ℓ2, 259

Biles, D. C., and Binding, P. A. On Caratheodory’s conditions for the initial value problem, 1371Binding, P. A. See Biles, D. C.Binding, Paul A., Drabek, Pavel, and Huang, Yin Xi. On the Fredholm alternative for the p-

Laplacian, 3555Biyanov, Andrey Y. Characterization of the duals of lattices of continuous functions with respect

to disjointness preserving groups, 2571

Blecher, David P. Continuous functions on compact groups, 1177Block, Jonathan, Mathai, Varghese, and Weinberger, Shmuel. Homotopy invariance of Novikov-

Shubin invariants and L2 Betti numbers, 3757B locki, Zbigniew. Smooth exhaustion functions in convex domains, 477Boas, Harold P., and Khavinson, Dmitry. Bohr’s power series theorem in several variables, 2975Boratynski, M. On the curves of contact on surfaces in a projective space. III, 329Borwein, J. M., and Wang, Xianfu. Distinct differentiable functions may share the same Clarke

subdifferential at all points, 807Borzellino, Joseph E. Orbifolds with lower Ricci curvature bounds, 3011Bourdon, Paul S. Rudin’s orthogonality problem and the Nevanlinna counting function, 1187Brams, Steven J., Taylor, Alan D., and Zwicker, William S. A moving-knife solution to the

four-person envy-free cake-division problem, 547Briem, Eggert. Functions operating from a complex Banach space to its real part, 861

Brown, R. C., and Hinton, D. B. Opial’s inequality and oscillation of 2nd order equations, 1123Brown, Russell M., Hu, Wei, and Lieberman, Gary M. Weak solutions of parabolic equations in

non-cylindrical domains, 1785Brussel, Eric S. Wang counterexamples lead to noncrossed products, 2199

Bryan, Jim, and Sanders, Marc. The rank stable topology of instantons on CP2, 3763

Brzdek, Janusz. On orthogonally exponential and orthogonally additive mappings, 2127Bugeaud, Yann. On the diophantine equation x2 − 2m = ± yn, 3203Bui, Huu Hung. Crossed products of Hilbert C∗-modules, 1341

. A Hilbert C*-module method for Morita equivalence of twisted crossed products, 2109Bulla, W., Gesztesy, F., Renger, W., and Simon, B. Weakly coupled bound states in quantum

waveguides, 1487Bullock, Doug. Estimating a skein module with SL2(C) characters, 1835
























































Buzzi, Jerome. Erratum to “Number of equilibrium states of piecewise monotonic maps of theinterval”, 3131

Cabrera, M., and Martınez, J. Inner derivations on ultraprime normed algebras, 2033Cairns, Grant. See Armstrong, Grant F.Cano, J. Construction of invariant curves for singular holomorphic vector fields, 2649Carlehed, Magnus. A relation between the pluricomplex and the classical Green functions in the

unit ball of Cn, 1767Carter, J. Scott, and Saito, Masahico. Normal Euler classes of knotted surfaces and triple points

on projections, 617Castro, Nieves, and Reyes, Miguel. Hausdorff measures and dimension on R∞, 3267

Cerf, Raphael, and Mariconda, Carlo. Chebyshev measures, 3321Chan, Shing-Wai. L-classes on pseudomanifolds with one singular stratum, 1955Chang, Mei-Chu. Inequidimensionality of Hilbert schemes, 2521Charatonik, Janusz J., and Charatonik, W lodzimierz J. Open mappings increasing order, 3725Charatonik, W lodzimierz J. See Charatonik, Janusz J.Chattopadhyay, K. C. See Acharyya, S. K.

Chen Di-Rong. On the existence and constructions of orthonormal wavelets on L2(Rs), 2883Chen, Gui-Qiang. Remarks on DiPerna’s paper “Convergence of the viscosity method for isen-

tropic gas dynamics”, 2981

Chen, Hao. A remark on the liftable derivation of moduli algebras of isolated hypersurface sin-gularities, 3133

Chen, Jungkai Alfred. On genera of smooth curves in higher dimensional varieties, 2221Chen, Z. L., and Wickstead, A. W. Incompleteness of the linear span of the positive compact

operators, 3381Chen, Zhiqiang, Rubin, Herman, and Vitale, Richard A. Independence and determination of

probabilities, 3721Chernyavskaya, N., and Shuster, L. Necessary and sufficient conditions for the solvability of a

problem of Hartman and Wintner, 3213Cheung, C. K., and Kim, K. T. Analysis of the Wu metric II: The case of non-convex Thullen

domains, 1131Chicone, C., and Latushkin, Y. The geodesic flow generates a fast dynamo: An elementary

proof, 3391Chiu, Patrick. Height of flat tori, 723Choa, Jun Soo, and Kim, Hong Oh. Compact composition operators on the Nevanlinna class,

145Choe, Boo Rim, Ramey, Wade, and Ullrich, David. Bloch-to-BMOA pullbacks on the disk, 2987

Choi, Hyeong In, Kim, Sang Moon, and Park, Sung Ho. Remarks on sphere-type theorems, 569Choksi, Rustum, and Fonseca, Irene. A change of variables formula for mappings in BV, 2065

Chow, Timothy Y. The Q-spectrum and spanning trees of tensor products of bipartite graphs,3155

Chu, Cho-Ho, and Mellon, Pauline. Iteration of compact holomorphic maps on a Hilbert ball,1771

Chua, Seng-Kiat, and Ling, San. On the rational cuspidal subgroup and the rational torsionpoints of J0(pq), 2255

∗Chuaqui, M., Osgood, B., and Stowe, D. Functions with prescribed quasisymmetry quotients,2195

Chung, Soon-Yeong, Kim, Dohan, and Lee, Sungjin. Characterization for Beurling–Bjorck space

and Schwartz space, 3229Cibils, Claude. Tensor product of Hopf bimodules over a group, 1315

Cioranescu, Ioana, and Lizama, Carlos. Some applications of Fejer’s theorem to operator cosinefunctions in Banach spaces, 2353

Clark, W. Edwin, and Shekhtman, Boris. Covering by complements of subspaces, II, 251Clement, Ph., and van der Vorst, R. C. A. M. On the non-existence of homoclinic orbits for a

class of infinite dimensional Hamiltonian systems, 1167Cobb, Robin J., and Hillman, Jonathan A. S2-bundles over aspherical surfaces and 4-dimensional

geometries, 3415Coelho, Flavio U., and Happel, Dieter. Quasitilted algebras admit a preprojective component,

1283























































Coman, Dan. Domains of finite type and Holder continuity of the Perron-Bremermann function,3569

de Concini, Carrado, and Weyman, Jerzy. A formula with nonnegative terms for the degree ofthe dual variety of a homogeneous space, 1

Conway, John B., and Feldman, Nathan S. The essential selfcommutator of a subnormal oper-ator, 243

Cornacchia, Pietro. The parity of the class number of the cyclotomic fields of prime conductor,3163

Cortes, Vıctor H., and Prado, Humberto. Large time behavior for discontinuous dynamics onHilbert spaces, 1019

Courcelle, Olivier, Gambaudo, Jean-Marc, and Tresser, Charles. Nielsen-Thurston reducibilityand renormalization, 3051

Craven, Thomas C. A weak version of Rolle’s theorem, 3147Cruz-Uribe, David, SFO. A new proof of the two weight norm inequality for the one-sided frac-

tional maximal operator, 1419Cuartero, Bienvenido, Gale, Jose E., and Slinko, Arkadii M. Linearly compact algebraic Lie

algebras and coalgebraic Lie coalgebras, 1945Culler, Marc, and Shalen, Peter B. Volumes of hyperbolic Haken manifolds, II, 3059Cummings, James. Souslin trees which are hard to specialise, 2435

. Collapsing successors of singulars, 2703

Curgus, Branko, and Najman, Branko. Preservation of the range under perturbations of anoperator, 2627

Curto, Raul E., and Hernandez G., Carlos. A joint spectral characterization of primeness forC∗-algebras, 3299

Cutkosky, Steven Dale. Simple connectedness of projective varieties, 679Cvijovic, Djurdje, and Klinowski, Jacek. New rapidly convergent series representations for

ζ(2n + 1), 1263. Continued-fraction expansions for the Riemann zeta function and polylogarithms, 2543

Danchev, Peter. Commutative group algebras of σ-summable abelian groups, 2559

Daughtry, John, Lambert, Alan, and Weinstock, Barnet. Invariance of spectrum for representa-tions of C∗-algebras on Banach spaces, 189

Dekster, B. V. The Jung Theorem in metric spaces of curvature bounded above, 2425Delon, Francoise. Q muni de l’arithmetique faible de Penzin est decidable, 2711Dıaz, Juan Carlos, and Dierolf, Susanne. On duals of weakly acyclic (LF )-spaces, 2897Dierolf, Susanne. See Dıaz, Juan Carlos

Dijkstra, Jan J., and van Mill, Jan. Two point set extensions— a counterexample, 2501DiLena, Giovanni, Messano, Basilio, and Roux, Delfina. Rigid sets and nonexpansive mappings,

3575

Ding, Shusen. Weighted Hardy-Littlewood inequality for A-harmonic tensors, 1727Ding, Yong. Weak type bounds for a class of rough operators with power weights, 2939

Dinh The Luc. Smooth representation of a parametric polyhedral convex set with application tosensitivity in optimization, 555

Dinh The Luc, and Pham Huy Dien. Differentiable selection of optimal solutions in parametriclinear programming, 883

Dobrowolski, Tadeusz. See Bessaga, Czes lawDodds, P. G., Dodds, T. K., and Sukochev, F. A. Lifting of Kadec-Klee properties to symmetric

spaces of measurable operators, 1457Dodds, T. K. See Dodds, P. G.Domanski, P., Lindstrom, M., and Schluchtermann, G. Grothendieck operators on tensor prod-

ucts, 2285Dooley, Anthony H., and Zhang, Genkai. Generalized principal series representations of

SL(1 + n, C), 2779Dorofeev, Sergey, and Thomsen, Klaus. Formulae and continuity for the index of subfactors,

2007Dostanic, Milutin R. On an inequality of Friedrich’s type, 2115Dotti, Isabel. On the curvature of certain extensions of H-type groups, 573van Douwen, Eric K., and Lutzer, David J. A note on paracompactness in generalized ordered

spaces, 1237
























































Dow, Alan, and Hart, Klaas Pieter. A new subcontinuum of βR \ R, 1861Dow, Alan, and Pearl, Elliott. Homogeneity in powers of zero-dimensional first-countable spaces,

2503Dowling, P. N., Johnson, W. B., Lennard, C. J., and Turett, B. The optimality of James’s

distortion theorems, 167Dowling, P. N., and Lennard, C. J. Every nonreflexive subspace of L1[0, 1] fails the fixed point

property, 443Downey, Rodney G., and Shore, Richard A. There is no degree invariant half-jump, 3033

Drabek, Pavel. See Binding, Paul A.Dranishnikov, A. N. On the virtual cohomological dimensions of Coxeter groups, 1885

. On Chogoshvili’s conjecture, 2155Drnovsek, Roman. On quasispectral maximal subspaces of a class of Volterra-type operators,

1081. On reducibility of semigroups of compact quasinilpotent operators, 2391

Dunwoody, M. J., and Sageev, M. Splittings of certain Fuchsian groups, 1953Duran, Antonio J. See Berg, Christian

Dwyer, W. G., and Møller, J. M. Homotopy fixed points for cyclic p-group actions, 3735Dziubanski, Jacek. Triebel-Lizorkin spaces associated with Laguerre and Hermite expansions,

3547

Ebrahimi-Vishki, H. R., and Pourabdollah, M. A. The universal nilpotent group compactificationof a semigroup, 2171

Edigarian, Armen. On the product property of the pluricomplex Green function, 2855Efrat, Ido. Lifting of generating subgroups, 2217Elduque, Alberto, and Perez, Jose Marıa. Infinite dimensional quadratic forms admitting com-

position, 2207

Elek, Gabor. The K-theory of Gromov’s translation algebras and the amenability of discretegroups, 2551

Eleutheriadis, G. I. An improved estimate for the highest Lyapunov exponent in the method offreezing, 2931

Elias, Peter. A classification of trigonometrical thin sets and their interrelations, 1111Elizondo, E. Javier. The ring of global sections of multiples of a line bundle on a toric variety,

2527El Mennaoui, Omar. See Arendt, Wolfgang

Eloe, Paul W., and Henderson, Johnny. Inequalities based on a generalization of concavity, 2103Enochs, Edgar, and Xu, Jinzhong. On invariants dual to the Bass numbers, 951van den Essen, Arno, and Yu, Jie-Tai. The D-resultant, singularities and the degree of unfaith-

fulness, 689Everest, G. R., and van der Poorten, A. J. Factorisation in the ring of exponential polynomials,

1293∗Ewell, John A. On an identity of Ramanujan, 3769Exel, Ruy, and Laca, Marcelo. Continuous Fell bundles associated to measurable twisted actions,

795Faith, Carl. Erratum to “Structure of Johns rings”, 1247Fan, Dashan, and Pan, Yibiao. A singular integral operator with rough kernel, 3695Farsi, Carla, and Watling, Neil. Fixed point subalgebras of rational higher–dimensional non–

commutative tori, 209Faticoni, T., Goeters, H. P., Vinsonhaler, C., and Wickless, W. J. Torsion-free duality is Warfield,

961Feit, Walter. Finite linear groups and theorems of Minkowski and Schur, 1259

Fejzic, Hajrudin, and Rinne, Dan. Peano path derivatives, 2651Feldman, Nathan S. See Conway, John B.Fernandez, Manuel, and Palacios, Isidro. Directional uniform rotundity in spaces of essentially

bounded vector functions, 1323Ferrero, Miguel. Prime ideals in polynomial rings in several indeterminates, 67Ferreyra, Elida V. On a negative result concerning interpolation with change of measures for

Lorentz spaces, 1413Files, Steve T. The fully invariant subgroups of local Warfield groups, 3515




















































Fischer, Klaus G., Morris, Walter, and Shapiro, Jay. Affine semigroup rings that are completeintersections, 3137

Fisher, Benji. A note on Hensel’s lemma in several variables, 3185Fitzgerald, Robert W. K-regular Witt rings, 1309Fleming, D. J., and Magee, J. C. FK-multiplier spaces, 175Fonseca, Irene. See Choksi, RustumFord, Ben. Irreducible representations of the alternating group in odd characteristic, 375Forrest, Brian. Weak amenability and the second dual of the Fourier algebra, 2373

Forzani, L. See Aimar, H.Franciosi, Silvana, and de Giovanni, Francesco. Groups with many normal-by-finite subgroups,

323Freese, Ralph. Computing congruence lattices of finite lattices, 3457Frerick, Leonhard, and Muller, Jurgen. Infinite Taylor interpolation, 3331Fridy, J. A., and Orhan, C. Statistical limit superior and limit inferior, 3625Friedland, Shmuel. The maximal orders of finite subgroups in GLn(Q), 3519Friedman, Sy D., and Velickovic, Boban. Nonstandard models and analytic equivalence relations,

1807Fromm, Stephen J., and McDonald, Patrick. A symmetry problem from probability, 3293Fujii, Masatoshi, Jiang, Jian Fei, and Kamei, Eizaburo. Characterization of chaotic order and

its application to Furuta inequality, 3655Fuller, K. R., Nicholson, W. K., and Watters, J. F. On k-reflexive representations of algebras,

47Gale, Jose E. See Cuartero, BienvenidoGambaudo, Jean-Marc. See Courcelle, OlivierGanchev, Georgi. See Apostolov, Vestislav

Garcıa-Falset, J., Jimenez-Melado, A., and Llorens-Fuster, E. Isomorphically expansive map-pings in l2, 2633

Garcia Falset, Jesus, and Sims, Brailey. Property (M) and the weak fixed point property, 2891Gatto, A. Eduardo, and Vagi, Stephen. On functions arising as potentials on spaces of homo-

geneous type, 1149Geluk, J. L. A renewal theorem in the finite-mean case, 3407Geramita, Anthony V., and Migliore, Juan C. Reduced Gorenstein codimension three subschemes

of projective space, 943Gesztesy, F. See Bulla, W.Ghosh, D. P. See Acharyya, S. K.Giambruno, Antonio, Sehgal, Sudarshan, and Valenti, Angela. Group algebras whose units satisfy

a group identity, 629Gilmer, Robert, and Heinzer, William. Every local ring is dominated by a one-dimensional local

ring, 2513de Giovanni, Francesco. See Franciosi, SilvanaGirela, Daniel. On a theorem of Privalov and normal functions, 433Gitik, Moti, and Shelah, Saharon. Less saturated ideals, 1523Glezen, P. F., and Penner, R. C. Some harmonic functions on Minkowski space, 1659Goeters, H. P. See Faticoni, T.

Goldberg, Vladislav V. See Akivis, Maks A.Gomez Pardo, Jose L., and Guil Asensio, Pedro A. Rings with finite essential socle, 971Gonzalez, Benito J., and Negrin, Emilio R. Mehler-Fock transforms of generalized functions via

the method of adjoints, 3243Gonzalez, Manuel. See Bermudez, Teresa

Gonzalez, Manuel, Gutierrez, Joaquın M., and Llavona, Jose G. Polynomial continuity on ℓ1,1349

Goulden, I. P., and Jackson, D. M. Transitive factorisations into transpositions and holomorphicmappings on the sphere, 51

Govil, N. K., and Zalik, R. A. Perturbations of the Haar wavelet, 3363Grafakos, Loukas. H1 boundedness of determinants of vector fields, 3279∗Gruenhage, Gary. A non-metrizable space whose countable power is σ-metrizable, 1881Grzeszczuk, Piotr. See Bergen, JeffreyGrzybowski, Jerzy, and Urbanski, Ryszard. On convex class of pairs of convex bodies, 3397
























































Guil Asensio, Pedro A. See Gomez Pardo, Jose L.Guillou, Lucien. A simple proof of P. Carter’s theorem, 1555Gunther, Bernd. Construction of ANR topologies on certain groups, 2777Guo, Kanghui. A uniform Lp estimate of Bessel functions and distributions supported on Sn−1,

1329Gupta, A. K. See Song, D.Gutierrez, Joaquın M. See Gonzalez, ManuelHa Huy Khoai. Hyperbolic surfaces in P3(C), 3527

Haddad, Kamel N., and Johnson, Aimee S. A. Auslander systems, 2161Hadwin, Don, and Loring, Terry A. Normal operators in C∗-algebras without nice approximants,

159Haefner, J., del Rıo, A., and Simon, J. J. Isomorphisms of row and column finite matrix rings,

1651Hales, Thomas C. The fundamental lemma for Sp(4), 301Hansen, Frank. Jensen’s operator inequality for functions of two variables, 2093Happel, Dieter. See Coelho, Flavio U.

Hart, Klaas Pieter. See Dow, AlanHarte, Robin, and Lee, Woo Young. On the bounded closure of the range of an operator, 2313Hassi, Seppo, Kaltenback, Michael, and de Snoo, Henk. A characterization of semibounded self-

adjoint operators, 2681Heindorf, Lutz. On subalgebras of Boolean interval algebras, 2265Heinzer, William, and Huneke, Craig. Gaussian polynomials and content ideals, 739Heinzer, William, and Swanson, Irena. Ideals contracted from 1-dimensional overrings with an

application to the primary decomposition of ideals, 387Heinzer, William. See Gilmer, Robert

Hemmati, Jill E. Entire solutions of first-order nonlinear partial differential equations, 1483Henderson, Johnny. See Eloe, Paul W.

Hernandez G., Carlos. See Curto, Raul E.Herzog, Jurgen, and Hibi, Takayuki. Upper bounds for the number of facets of a simplicial

complex, 1579Heusener, Michael, and Klassen, Eric. Deformations of dihedral representations, 3039Hibi, Takayuki. See Herzog, JurgenHieber, Matthias. See Arendt, Wolfgang

Hillman, Jonathan A. See Cobb, Robin J.Hingston, Nancy. On the lengths of closed geodesics on a two-sphere, 3099Hinton, D. B. See Brown, R. C.

Horvath, Charles D., and Lassonde, Marc. Intersection of sets with n-connected unions, 1209Hotchkiss, Philip K. The boundary of a Busemann space, 1903

Hou, Zhong Hua. Hypersurfaces in a sphere with constant mean curvature, 1193Hu, Guoen, and Lu, Shanzhen. A weighted L2 estimate for the commutator of the Bochner-Riesz

operator, 2867Hu, Wei. See Brown, Russell M.Hu Ze-Jun, and Zhao Guo-Song. Isometric immersions from the hyperbolic space H2(−1) into

H3(−1), 2693Huang, I-Chiau. Applications of residues to combinatorial identities, 1011Huang, Min-Jei. The first instability interval for Hill equations with symmetric single well po-

tentials, 775

Huang, Sen-Zhong. On Bernstein type theorems concerning the growth of derivatives of entirefunctions, 493

Huang, Yin Xi. On the eigenvalues of the p-Laplacian with varying p, 3347. See Binding, Paul A.

Huneke, Craig. See Heinzer, William

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Wang, Xianfu. See Borwein, J. M.Wang, Xiangyong. Congruences on “character” values of permutation summands, 393Wang, Xu-Jia. See Kocan, MaciejWatanabe, Shuji. Sobolev type theorems for an operator with singularity, 129

. An embedding theorem of Sobolev type for an operator with singularity, 839Watling, Neil. See Farsi, CarlaWatters, J. F. See Fuller, K. R.Weaver, Nik. Quotients of little Lipschitz algebras, 2643

Wehrfritz, B. A. F. On ‘Clifford’s Theorem’ for primitive finitary groups, 2843Wei, Juncheng. Exact multiplicity for some nonlinear elliptic equations in balls, 3235

Weinberg, David. See Ash, J. Marshall

Weinberger, Shmuel. See Block, JonathanWeinstock, Barnet. See Daughtry, John

Weiss, Guido. See Berkson, EarlWermuth, Edgar M. E. A remark on commuting operator exponentials, 1685Weyman, Jerzy. See de Concini, Carrado

Whittlesey, Marshall A. Approximation of singularity sets with analytic graphs over the ball inC2, 3259

Wickless, W. J. See Faticoni, T.

Wickstead, A. W. See Chen, Z. L.Wilkins, J. Ernest, Jr. The expected value of the number of real zeros of a random sum of

Legendre polynomials, 1531Willems, Wolfgang. See Navarro, GabrielWilson, J. Michael. A two-parameter “Bergman space” inequality, 755Wilson, W. Stephen. See Johnson, David Copeland

Witte, Dave. Superrigid subgroups of solvable Lie groups, 3433Wu, Jianhong. See Zou, Xingfu

Wu, Jing. Local derivations of reflexive algebras, 869Wu, Sanxing. Prescribing Gaussian curvature on R2, 3119

Wu, Xian. A new fixed point theorem and its applications, 1779Xia, Changyu. A generalization of the classical sphere theorem, 255

. Rigidity of compact manifolds with boundary and nonnegative Ricci curvature, 1801

Xia, Daoxing. Chern characters associated with almost commuting algebras, 507Xia, Jingbo. See Muhly, Paul S.Xiao, Jie. Cesaro transforms of Fourier coefficients of L∞-functions, 3613Xie Ming-Qin. A generalization of the de Branges theorem, 3605Xiong, Changping. See Zhu, JunXu, Hong-Kun, and Nieto, Juan J. Extremal solutions of a class of nonlinear integro-differential

equations in Banach spaces, 2605Xu, Jinzhong. See Enochs, Edgar

Xu, Yuan. Integration of the intertwining operator for h-harmonic polynomials associated toreflection groups, 2963

Yang, Huajian. Stable orders of stunted lens spaces mod 2v , 2743

Yao, Fuyuan. The operator a(x) ddx

on Banach space, 1027

Yekutieli, Amnon, and Zhang, James J. Serre duality for noncommutative projective schemes,697

Yicai, Zhao. On the intersection property of Dubrovin valuation rings, 2825Yood, Bertram. See Leinbach, L. C.Young, Todd R. Ck conjugacy of 1-d diffeomorphisms with periodic points, 1987Yousif, M. F. See Nicholson, W. K.Yu, Jie-Tai. See van den Essen, Arno

Yu, Jiye. A counterexample to the existence of peaking functions, 2385Yu, Zu-Huan. The value distribution of the hyperbolic Gauss map, 2997Yun, Gabjin. A note on the fundamental groups of manifolds with almost nonnegative curvature,

1517Zalik, R. A. See Govil, N. K.Zapletal, Jindrich. Keeping additivity of the null ideal small, 2443Zeleny, Miroslav. Calibrated thin Π1

1σ-ideals are Gδ , 3027


























































Zhang, Genkai. See Dooley, Anthony H.Zhang, James J. A note on GK dimension of skew polynomial extensions, 363

. See Stephenson, Darin R.

. See Yekutieli, AmnonZhang, Xiao-Dong. See Schaefer, Helmut H.

Zhao Guo-Song. See Hu Ze-JunZhao, Junxi. On invertibility in non-selfadjoint operator algebras, 101

Zhao, Shiying. Weighted weak-type inequalities for the maximal function of nonnegative integraltransforms over approach regions, 2013

Zhou Haiyun, and Jia Yuting. Approximation of fixed points of strongly pseudocontractive mapswithout Lipschitz assumption, 1705

Zhu, Jun, and Xiong, Changping. Bilocal derivations of standard operator algebras, 1367Zhu, Yongchang. A commuting pair in Hopf algebras, 2847Zobin, Nahum, and Zobin, Veronica. l∞ and interpolation between Banach lattices, 827Zobin, Veronica. See Zobin, NahumZou, Xingfu, and Wu, Jianhong. Existence of traveling wave fronts in delayed reaction-diffusion

systems via the monotone iteration method, 2589Zou, Yi Ming. Finite dimensional representations of Uq(sl(2, 1)), 1607

Zwicker, William S. See Brams, Steven J.

Zwonek, W lodzimierz. A note on the Kobayashi-Royden metric for real ellipsoids, 199





















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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 125, No. 1 Whole No. 451 January 1997

A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS

Carrado de Concini and Jerzy Weyman, A formula with nonnegative termsfor the degree of the dual variety of a homogeneous space . . . . . . . . . . . . . . . . . . 1

Melvyn B. Nathanson, On sums and products of integers . . . . . . . . . . . . . . . . . . . . . 9

Andrew V. Reztsov and Ian H. Sloan, On 2D packings of cubes in the torus 17

Mark L. Lewis, Primitive characters of subgroups of M–groups . . . . . . . . . . . . . . . . 27

Kenneth B. Stolarsky, q-analogue triangular numbers and distance geometry . 35

Joseph Roitberg, Rationally equivalent nilpotent groups and spaces . . . . . . . . . . . 41

K. R. Fuller, W. K. Nicholson, and J. F. Watters, On k-reflexiverepresentations of algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47

I. P. Goulden and D. M. Jackson, Transitive factorisations into transpositionsand holomorphic mappings on the sphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

Yuanlin Li and M. M. Parmenter, Central units of the integral group ring ZA5 61

Miguel Ferrero, Prime ideals in polynomial rings in several indeterminates . . . . . 67

Andy R. Magid, Small infinite dimensional modules for algebraic groups . . . . . . . 75

Peter Schauenburg, A bialgebra that admits a Hopf-Galois extension is a Hopfalgebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83

B. ANALYSIS

M. Anoussis and E. G. Katsoulis, Factorisation in nest algebras . . . . . . . . . . . . . 87

Helmut H. Schaefer and Xiao-Dong Zhang, Dixmier’s theorem for sequentiallyorder continuous Baire measures on compact spaces . . . . . . . . . . . . . . . . . . . . . . . . 93

Junxi Zhao, On invertibility in non-selfadjoint operator algebras . . . . . . . . . . . . . . . 101

Yuan-Chuan Li and Sen-Yen Shaw, An abstract ergodic theorem and someinequalities for operators on Banach spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

Gerard J. Murphy, Extensions of multipliers and dilations of projective isometricrepresentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121

Shuji Watanabe, Sobolev type theorems for an operator with singularity . . . . . . 129

Miroslav Repicky, A family of permitted trigonometric thin sets . . . . . . . . . . . . . . . 137

Jun Soo Choa and Hong Oh Kim, Compact composition operators on theNevanlinna class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145

Janusz Walorski, Convex solutions of the Schroder equation in Banach spaces . 153

Don Hadwin and Terry A. Loring, Normal operators in C∗-algebras withoutnice approximants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159

Barbara D. MacCluer, Fredholm composition operators . . . . . . . . . . . . . . . . . . . . . . . 163

P. N. Dowling, W. B. Johnson, C. J. Lennard, and B. Turett, The optimalityof James’s distortion theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167

D. J. Fleming and J. C. Magee, FK-multiplier spaces . . . . . . . . . . . . . . . . . . . . . . . 175

J. R. Nurcombe, Some relations between Norlund and Abel summability . . . . . . 183

John Daughtry, Alan Lambert, and Barnet Weinstock, Invariance ofspectrum for representations of C∗-algebras on Banach spaces . . . . . . . . . . . . . . 189

W lodzimierz Zwonek, A note on the Kobayashi-Royden metric for real ellipsoids. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199

Barry Simon, Some Schrodinger operators with dense point spectrum . . . . . . . . . 203

Carla Farsi and Neil Watling, Fixed point subalgebras of rational higher–dimensional non–commutative tori . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209












































J. Marshall Ash, Gang Wang, and David Weinberg, A Cantor-Lebesguetheorem with variable “coefficients” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

Hiroaki Aikawa, Densities with the mean value property for harmonic functionsin a Lipschitz domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229

R. deLaubenfels and Vu Quoc Phong, Stability and almost periodicity ofsolutions of ill-posed abstract Cauchy problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235

John B. Conway and Nathan S. Feldman, The essential selfcommutator of asubnormal operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243

C. APPLIED MATHEMATICS

Marjan Matvejchuk, Semiconstant measures on hyperbolic logics . . . . . . . . . . . . . . 245

D. GEOMETRY

W. Edwin Clark and Boris Shekhtman, Covering by complements of subspaces,II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251

Changyu Xia, A generalization of the classical sphere theorem . . . . . . . . . . . . . . . . 255

G. TOPOLOGY

Czes law Bessaga and Tadeusz Dobrowolski, Affine and homeomorphicembeddings into ℓ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259

Michael Levin and Roman Pol, A metric condition which implies dimension≤ 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269

Seiichi Udagawa, Harmonic tori in quaternionic projective 3-spaces . . . . . . . . . . . . 275

Shuguang Wang, Smooth structures on complex surfaces with fundamental groupZ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287

Gui-Song Li, Kojima’s eta-function for manifold links in higher dimensions . . . . . 293

Thomas C. Hales, The fundamental lemma for Sp(4) . . . . . . . . . . . . . . . . . . . . . . . . . . 301

C. A. McGibbon, Infinite loop spaces and Neisendorfer localization . . . . . . . . . . . 309

Vol. 125, No. 2 Whole No. 452 February 1997


Mee-Kyoung Kim, Product of distinct simple integrally closed ideals in 2-dimensional regular local rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315

Silvana Franciosi and Francesco de Giovanni, Groups with many normal-by-finite subgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323

M. Boratynski, On the curves of contact on surfaces in a projective space. III . . 329

Charles Lanski, An Engel condition with derivation for left ideals . . . . . . . . . . . . . . 339

Carlos Gustavo T. de A. Moreira, On asymptotic estimates for arithmetic costfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347

K. I. Beidar, E. R. Puczy lowski, and P. F. Smith, Krull dimension of modulesover involution rings. II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355

James J. Zhang, A note on GK dimension of skew polynomial extensions . . . . . . 363

Ben Ford, Irreducible representations of the alternating group in odd characteristic 375

Grant F. Armstrong, Grant Cairns, and Barry Jessup, Explicit Bettinumbers for a family of nilpotent Lie algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381





































William Heinzer and Irena Swanson, Ideals contracted from 1-dimensionaloverrings with an application to the primary decomposition of ideals . . . . . . . 387

Xiangyong Wang, Congruences on “character” values of permutation summands. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393

B. ANALYSIS

Chengwen Wang, Generalized upper and lower solution method for the forcedDuffing equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 397

Sergey Merkulov and Henrik Pedersen, Projective structures on moduli spacesof compact complex hypersurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407

Teresa Bermudez, Manuel Gonzalez, and Antonio Martinon, Stability ofthe local spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417

Sol Schwartzman, Bohr almost periodic maps into K(π, 1) spaces . . . . . . . . . . . . . . 427

Daniel Girela, On a theorem of Privalov and normal functions . . . . . . . . . . . . . . . . . 433

P. N. Dowling and C. J. Lennard, Every nonreflexive subspace of L1[0, 1] failsthe fixed point property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 443

Lajos Molnar and Peter Semrl, Local Jordan ∗-derivations of standard operatoralgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447

Carlos A. Berenstein, Enrico Casadio Tarabusi, and Arpad Kurusa, Radontransform on spaces of constant curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 455

Jong-Guk Bak and David McMichael, Convolution of a measure with itselfand a restriction theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 463

Jaime Carvalho E Silva and Carlos Leal, The generalized Goursat-Darbouxproblem for a third order operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 471

Zbigniew B locki, Smooth exhaustion functions in convex domains . . . . . . . . . . . . . 477

Kimio Miyajima, A note on the Bogomolov-type smoothness on deformations ofthe regular parts of isolated singularities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485

Sen-Zhong Huang, On Bernstein type theorems concerning the growth ofderivatives of entire functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 493

Daoxing Xia, Chern characters associated with almost commuting algebras . . . . . 507

Liu Li-Shan, Some random approximations and random fixed point theorems for1-set-contractive random operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 515

Christian Berg and Antonio J. Duran, Measures with finite index ofdeterminacy or a mathematical model for Dr. Jekyll and Mr. Hyde . . . . . . . 523

Michael Schreiner, On a new condition for strictly positive definite functions onspheres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531

Camil Muscalu, Radial limit of lacunary Fourier series with coefficients in non-commutative symmetric spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541


Steven J. Brams, Alan D. Taylor, and William S. Zwicker, A moving-knifesolution to the four-person envy-free cake-division problem . . . . . . . . . . . . . . . . . 547

D. GEOMETRY

Dinh The Luc, Smooth representation of a parametric polyhedral convex set withapplication to sensitivity in optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 555

Hyeong In Choi, Sang Moon Kim, and Sung Ho Park, Remarks on sphere-type theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 569

Isabel Dotti, On the curvature of certain extensions of H-type groups . . . . . . . . . . 573












































E. LOGIC AND FOUNDATIONS

Marion Scheepers, The least cardinal for which the Baire category theorem fails 579

Franco Parlamento, Alberto Policriti, and K. P. S. B. Rao, Witnessingdifferences without redundancies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 587

F. STATISTICS AND PROBABILITY

D. Song and A. K. Gupta, Lp-norm uniform distribution . . . . . . . . . . . . . . . . . . . . . 595

G. TOPOLOGY

Michael Levin, Hyperspaces and open monotone maps of hereditarilyindecomposable continua . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 603

S. K. Acharyya, K. C. Chattopadhyay, and D. P. Ghosh, On a class ofsubalgebras of C(X) and the intersection of their free maximal ideals . . . . . . 611

J. Scott Carter and Masahico Saito, Normal Euler classes of knotted surfacesand triple points on projections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 617

S. Akbulut, A note on a homology sphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 625

Vol. 125, No. 3 Whole No. 453 March 1997


Antonio Giambruno, Sudarshan Sehgal, and Angela Valenti, Group algebraswhose units satisfy a group identity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 629

Wolfgang Arendt, Omar El Mennaoui, and Matthias Hieber, Boundaryvalues of holomorphic semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635

V. M. Petrogradsky, On Lie algebras with nonintegral q-dimensions . . . . . . . . . . 649

D. S. Passman, Group algebras whose units satisfy a group identity. II . . . . . . . . 657

Pavlos Tzermias, Mordell-Weil groups of the Jacobian of the 5-th Fermat curve 663

Yakov Berkovich, On Isaacs’ three character degrees theorem . . . . . . . . . . . . . . . . . . 669

Steven Dale Cutkosky, Simple connectedness of projective varieties . . . . . . . . . . . 679

Said Benayadi, A new characterization of semisimple Lie algebras . . . . . . . . . . . . . . 685

Arno van den Essen and Jie-Tai Yu, The D-resultant, singularities and thedegree of unfaithfulness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 689

Amnon Yekutieli and James J. Zhang, Serre duality for noncommutativeprojective schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 697

Peter Jørgensen, Serre-duality for Tails(A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 709

Minoru Setoyanagi, Note on Clark’s theorem for p -adic convergence . . . . . . . . . . 717

Patrick Chiu, Height of flat tori . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 723

Luis Paris, Commensurators of parabolic subgroups of Coxeter groups . . . . . . . . . . 731

William Heinzer and Craig Huneke, Gaussian polynomials and content ideals 739

Donald G. James, Conjugacy classes of symmetries in orthogonal groups . . . . . . 747

B. ANALYSIS

J. Michael Wilson, A two-parameter “Bergman space” inequality . . . . . . . . . . . . . . 755

M. Berkani and A. Ouahab, Theoreme de l’application spectrale pour le spectreessentiel quasi-Fredholm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 763



































Min-Jei Huang, The first instability interval for Hill equations with symmetricsingle well potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775

Michael Marsalli, Noncommutative H2 spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 779

Rong-Qing Jia, Shift-invariant spaces on the real line . . . . . . . . . . . . . . . . . . . . . . . . . . 785

Ruy Exel and Marcelo Laca, Continuous Fell bundles associated to measurabletwisted actions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 795

Narcisse Randrianantoanina, Pe lczynski’s property (V*) for symmetric operatorspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 801

J. M. Borwein and Xianfu Wang, Distinct differentiable functions may sharethe same Clarke subdifferential at all points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 807

M. Rakowski and I. Spitkovsky, On normal solvability of the Riemann problemwith singular coefficient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 815

Nahum Zobin and Veronica Zobin, l∞ and interpolation between Banachlattices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 827

Pentti Jarvi, Not all Julia sets are quasi-self-similar . . . . . . . . . . . . . . . . . . . . . . . . . . . . 835

Shuji Watanabe, An embedding theorem of Sobolev type for an operator withsingularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 839

Bojan Magajna, Hilbert C∗−modules in which all closed submodules arecomplemented . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 849

Kazuhiro Kurata, A unique continuation theorem for the Schrodinger equationwith singular magnetic field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 853

Eggert Briem, Functions operating from a complex Banach space to its real part 861

Jing Wu, Local derivations of reflexive algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 869

Donal O’Regan, Fixed point theory for compact upper semi–continuous or lowersemi–continuous set valued maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 875


Dinh The Luc and Pham Huy Dien, Differentiable selection of optimal solutionsin parametric linear programming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 883

D. GEOMETRY

Cristian U. Sanchez, The index number of an R-space: An extension of a resultof M. Takeuchi’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 893

Ying Shen, A note on Fischer-Marsden’s conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . 901

Reinhard Schultz, Positive scalar curvature and odd order abelian fundamentalgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 907


Victor H. de la Pena and Tze Leung Lai, Wald’s equation and asymptotic biasof randomly stopped U -statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 917

G. TOPOLOGY

Mary Ellen Rudin, Ian S. Stares, and Jerry E. Vaughan, From countablecompactness to absolute countable compactness . . . . . . . . . . . . . . . . . . . . . . . . . . . . 927

Gerard Misio lek, Conjugate points in the Bott-Virasoro group and the KdVequation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 935

SHORTER NOTES

James W. Anderson and Alan W. Reid, Commensurability of Fuchsian groupsand their axes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 941









































Vol. 125, No. 4 Whole No. 454 April 1997


Anthony V. Geramita and Juan C. Migliore, Reduced Gorenstein codimensionthree subschemes of projective space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 943

Edgar Enochs and Jinzhong Xu, On invariants dual to the Bass numbers . . . . 951

T. Faticoni, H. P. Goeters, C. Vinsonhaler, and W. J. Wickless, Torsion-freeduality is Warfield . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 961

Jose L. Gomez Pardo and Pedro A. Guil Asensio, Rings with finite essentialsocle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 971

W. K. Nicholson and M. F. Yousif, On perfect simple-injective rings . . . . . . . . 979

Keqin Liu, A family of new universal R–matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 987

Gennady Bachman, On an optimality property of Ramanujan sums . . . . . . . . . . . 1001

Zbigniew S. Marciniak and Sudarshan K. Sehgal, Constructing free subgroupsof integral group ring units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1005

I-Chiau Huang, Applications of residues to combinatorial identities . . . . . . . . . . . . 1011

B. ANALYSIS

Vıctor H. Cortes and Humberto Prado, Large time behavior for discontinuousdynamics on Hilbert spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1019

Fuyuan Yao, The operator a(x) ddx

on Banach space . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1027

Anna Paolucci, Coactions of Hopf algebras on Cuntz algebras and their fixed pointalgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1033

Marıa Laura Barberis, Hypercomplex structures on four-dimensional Lie groups 1043

Mikio Kato and Yasuji Takahashi, On the von Neumann-Jordan constant forBanach spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1055

Stephen A. Saxon and L. M. Sanchez Ruiz, Dual local completeness . . . . . . . 1063

Didier Arnal and Jean Ludwig, Q.U.P. and Paley-Wiener properties ofunimodular, especially nilpotent, Lie groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1071

Roman Drnovsek, On quasispectral maximal subspaces of a class of Volterra-typeoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1081

Pavlos Sinopoulos, Wilson’s functional equation for vector and matrix functions 1089

G. J. Martin, The Distortion Theorem for quasiconformal mappings, Schottky’sTheorem and holomorphic motions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1095

Jose A. Raposo and Javier Soria, Best approach regions for potential spaces 1105

Peter Elias, A classification of trigonometrical thin sets and their interrelations . 1111

R. C. Brown and D. B. Hinton, Opial’s inequality and oscillation of 2nd orderequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1123

C. K. Cheung and K. T. Kim, Analysis of the Wu metric II: The case of non-convex Thullen domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1131

Andreas Sauer, A note on the zero-sequences of solutions of f ′′ + Af = 0 . . . . . . 1143

A. Eduardo Gatto and Stephen Vagi, On functions arising as potentials onspaces of homogeneous type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1149

Keiji Izuchi, Sequential type Korovkin theorem on L∞ for QC-test functions . . . 1153

R. K. Singh and Bhopinder Singh, Lamperti-type operators on a weightedspace of continuous functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1161

Ph. Clement and R.C.A.M. van der Vorst, On the non-existence of homoclinicorbits for a class of infinite dimensional Hamiltonian systems . . . . . . . . . . . . . . 1167

David P. Blecher, Continuous functions on compact groups . . . . . . . . . . . . . . . . . . . . 1177

Paul S. Bourdon, Rudin’s orthogonality problem and the Nevanlinna countingfunction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1187















































D. GEOMETRY

Zhong Hua Hou, Hypersurfaces in a sphere with constant mean curvature . . . . . 1193

Sadahiro Maeda and Toshiaki Adachi, Holomorphic helices in a complex spaceform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1197

Thomas Ivey, Ricci solitons on compact Kahler surfaces . . . . . . . . . . . . . . . . . . . . . . . 1203

Charles D. Horvath and Marc Lassonde, Intersection of sets with n-connectedunions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1209


Robert C. Stolz, The structure of functions satisfying the law of large numbersin a class of locally convex spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1215

G. TOPOLOGY

Karoly Simon, The Hausdorff dimension of the Smale-Williams solenoid withdifferent contraction coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1221

Goutam Mukherjee, Hopfian and co-Hopfian G-CW-complexes . . . . . . . . . . . . . . . . 1229

Eric K. van Douwen and David J. Lutzer, A note on paracompactness ingeneralized ordered spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1237

ERRATA

Carl Faith, Erratum to “Structure of Johns rings” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1247

Vol. 125, No. 5 Whole No. 455 May 1997


Mohammad N. Abdulrahim, A faithfulness criterion for the Gassnerrepresentation of the pure braid group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1249

Walter Feit, Finite linear groups and theorems of Minkowski and Schur . . . . . . . . 1259

Djurdje Cvijovic and Jacek Klinowski, New rapidly convergent seriesrepresentations for ζ(2n + 1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1263

Teo Mora, Grobner Duality and multiple points in linearly general position . . . . . 1273

Flavio U. Coelho and Dieter Happel, Quasitilted algebras admit a preprojectivecomponent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1283

G. R. Everest and A. J. van der Poorten, Factorisation in the ring ofexponential polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1293

Michael Rosen, A note on the relative class number in function fields . . . . . . . . . . 1299

Curtis D. Bennett, Explicit free subgroups of Aut(R,≤) . . . . . . . . . . . . . . . . . . . . . . 1305

Robert W. Fitzgerald, K-regular Witt rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1309

Claude Cibils, Tensor product of Hopf bimodules over a group . . . . . . . . . . . . . . . . . 1315

B. ANALYSIS

Manuel Fernandez and Isidro Palacios, Directional uniform rotundity in spacesof essentially bounded vector functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1323

Kanghui Guo, A uniform Lp estimate of Bessel functions and distributionssupported on Sn−1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1329

Huu Hung Bui, Crossed products of Hilbert C∗-modules . . . . . . . . . . . . . . . . . . . . . . . 1341


































Manuel Gonzalez, Joaquın M. Gutierrez, and Jose G. Llavona, Polynomialcontinuity on ℓ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1349

Daniel M. Oberlin, A convolution estimate for a measure on a curve in R4 . . . . 1355

Liwei Liu, Approximation of fixed points of a strictly pseudocontractive mapping 1363

Jun Zhu and Changping Xiong, Bilocal derivations of standard operatoralgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1367

D. C. Biles and P. A. Binding, On Caratheodory’s conditions for the initialvalue problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1371

Krzysztof Jarosz, Peak set without peak points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1377

J. F. Jiang, The global stability of a system modeling a community with limitedcompetition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1381

Ryszard Smarzewski, Extreme points of unit balls in Lipschitz function spaces 1391

Lih-Chung Wang, Stability in the Gromov-Shubin index theorem . . . . . . . . . . . . . . 1399

Severino T. Melo, Characterizations of pseudodifferential operators on the circle 1407

Elida V. Ferreyra, On a negative result concerning interpolation with change ofmeasures for Lorentz spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1413

David Cruz-Uribe, SFO, A new proof of the two weight norm inequality for theone-sided fractional maximal operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1419

K. B. Laursen, Essential spectra through local spectral theory . . . . . . . . . . . . . . . . . 1425

Eugen J. Ionascu, On power bounded operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1435

E. R. Liflyand, On the Bochner–Riesz means of critical order . . . . . . . . . . . . . . . . . . 1443

Alexander Sakhnovich, Canonical systems and transfer matrix-functions . . . . . . 1451

P. G. Dodds, T. K. Dodds, and F. A. Sukochev, Lifting of Kadec-Kleeproperties to symmetric spaces of measurable operators . . . . . . . . . . . . . . . . . . . 1457

Athanassios G. Kartsatos, An invariance of domain result for multi-valuedmaximal monotone operators whose domains do not necessarily contain anyopen sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1469

Edgar Reich, An approximation condition and extremal quasiconformalextensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1479

Jill E. Hemmati, Entire solutions of first-order nonlinear partial differentialequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1483


W. Bulla, F. Gesztesy, W. Renger, and B. Simon, Weakly coupled boundstates in quantum waveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1487

D. GEOMETRY

Ju Seon Kim, The structure of hypersurfaces with some curvature conditions . . 1497

Manuel Barros, General helices and a theorem of Lancret . . . . . . . . . . . . . . . . . . . . . . 1503

Jørgen Ellegaard Andersen, Fixed points of the mapping class group in theSU(n) moduli spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1511

Gabjin Yun, A note on the fundamental groups of manifolds with almostnonnegative curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1517


Moti Gitik and Saharon Shelah, Less saturated ideals . . . . . . . . . . . . . . . . . . . . . . . 1523


J. Ernest Wilkins, Jr., The expected value of the number of real zeros of a randomsum of Legendre polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1531











































G. TOPOLOGY

M. S. Joshi, An intrinsic characterisation of polyhomogeneous Lagrangiandistributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1537

S. Mrowka, Small inductive dimension of completions of metric spaces . . . . . . . . . 1545

Lucien Guillou, A simple proof of P. Carter’s theorem . . . . . . . . . . . . . . . . . . . . . . . . . 1555

Janez Mrcun, On the stability of equivariant foliations . . . . . . . . . . . . . . . . . . . . . . . . . 1561

Vol. 125, No. 6 Whole No. 456 June 1997


M. Babikov, Isotopy and identities in alternative algebras . . . . . . . . . . . . . . . . . . . . . . 1571

Pham Anh Minh, Group homomorphisms inducing mod -p cohomologymonomorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1577

Jurgen Herzog and Takayuki Hibi, Upper bounds for the number of facets ofa simplicial complex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1579

Sava Krstic and James McCool, Free quotients of SL2(R[x]) . . . . . . . . . . . . . . . . 1585

Gabriel Navarro and Wolfgang Willems, When is a p-block a q-block? . . . . . 1589

Darin R. Stephenson and James J. Zhang, Growth of graded noetherian rings 1593

Yi Ming Zou, Finite dimensional representations of Uq(sl(2, 1)) . . . . . . . . . . . . . . . 1607

Mohammad N. Abdulrahim, Complex specializations of the reduced Gassnerrepresentation of the pure braid group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1617

Yiu Tung Poon, Generalized numerical ranges, joint positive definiteness andmultiple eigenvalues . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1625

Shreeram S. Abhyankar, Local fundamental groups of algebraic varieties . . . . . 1635

Shreeram S. Abhyankar, Projective polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1643

J. Haefner, A. del Rıo, and J. J. Simon, Isomorphisms of row and columnfinite matrix rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1651

B. ANALYSIS

P. F. Glezen and R. C. Penner, Some harmonic functions on Minkowski space 1659

Vıctor Jimenez Lopez and L’ubomır Snoha, All maps of type 2∞ are boundarymaps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1667

James E. Joseph and Myung H. Kwack, Extension and convergence theoremsfor families of normal maps in several complex variables . . . . . . . . . . . . . . . . . . . . 1675

Edgar M. E. Wermuth, A remark on commuting operator exponentials . . . . . . . 1685

Bebe Prunaru, Invariant subspaces for polynomially hyponormal operators . . . . 1689

Hirokazu Oka, An ergodic theorem for asymptotically nonexpansive mappings inthe intermediate sense . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1693

Zhou Haiyun and Jia Yuting, Approximation of fixed points of stronglypseudocontractive maps without Lipschitz assumption . . . . . . . . . . . . . . . . . . . . . 1705

Michael E. Taylor, Beals-Cordes-type characterizations of pseudodifferentialoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1711

Alexander P. Schuster, Sets of sampling and interpolation in Bergman spaces . 1717

Shusen Ding, Weighted Hardy-Littlewood inequality for A-harmonic tensors . . . 1727

Takeshi Isobe, Non-existence and uniqueness results for boundary value problemsfor Yang-Mills connections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1737








































Kristian Seip and Alexander M. Ulanovskii, The Beurling-Malliavin densityof a random sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1745

F. Martinez and A. R. Villena, A note on the path holomorphy of randomfunctions holomorphic in mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1751

Rune Kleveland, Mixing properties of one-dimensional cellular automata . . . . . . 1755

Magnus Carlehed, A relation between the pluricomplex and the classical Greenfunctions in the unit ball of Cn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1767

Cho-Ho Chu and Pauline Mellon, Iteration of compact holomorphic maps ona Hilbert ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1771

Xian Wu, A new fixed point theorem and its applications . . . . . . . . . . . . . . . . . . . . . . . 1779

Russell M. Brown, Wei Hu, and Gary M. Lieberman, Weak solutions ofparabolic equations in non-cylindrical domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1785

Eva Matouskova, Convexity and Haar null sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1793

D. GEOMETRY

Changyu Xia, Rigidity of compact manifolds with boundary and nonnegative Riccicurvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1801


Sy D. Friedman and Boban Velickovic, Nonstandard models and analyticequivalence relations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1807

Alexander S. Kechris, On the concept of Π1

1-completeness . . . . . . . . . . . . . . . . . . . . 1811


Kimberly K. J. Kinateder and Patrick McDonald, Brownian functionals onhypersurfaces in Euclidean space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1815

G. TOPOLOGY

S. Purisch and M. E. Rudin, Products with linear and countable type factors 1823

G. Mikhalkin, J-holomorphic curves in almost complex surfaces do not alwaysminimize the genus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1831

Doug Bullock, Estimating a skein module with SL2(C) characters . . . . . . . . . . . . . 1835

Alain Valette, Amenable representations and finite injective von Neumannalgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1841

Mingqing Ouyang, A note on the Chern-Simons invariant of hyperbolic 3-manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1845

Hans-Peter A. Kunzi and Leonid B. Shapiro, On simultaneous extension ofcontinuous partial functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1853

Alan Dow and Klaas Pieter Hart, A new subcontinuum of βR \ R . . . . . . . . . . . 1861

Seong-Hun Paeng, Topological entropy for geodesic flows under a Ricci curvaturecondition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1873

SHORTER NOTES

Gary Gruenhage, A non-metrizable space whose countable power is σ-metrizable. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1881




































Vol. 125, No. 7 Whole No. 457 July 1997


A. N. Dranishnikov, On the virtual cohomological dimensions of Coxeter groups 1885

Helmut Lenzing, Hereditary noetherian categories with a tilting complex . . . . . . 1893

Philip K. Hotchkiss, The boundary of a Busemann space . . . . . . . . . . . . . . . . . . . . . 1903

Moshe Roitman, On Zsigmondy primes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1913

Mara D. Neusel, Invariants of some abelian p-groups in characteristic p . . . . . . . . 1921

Peter Muller, An infinite series of Kronecker conjugate polynomials . . . . . . . . . . . . 1933

Gennady Lyubeznik, On Bernstein-Sato polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . 1941

Bienvenido Cuartero, Jose E. Gale, and Arkadii M. Slinko, Linearly compactalgebraic Lie algebras and coalgebraic Lie coalgebras . . . . . . . . . . . . . . . . . . . . . . . 1945

M. J. Dunwoody and M. Sageev, Splittings of certain Fuchsian groups . . . . . . 1953

Shing-Wai Chan, L-classes on pseudomanifolds with one singular stratum . . . . . 1955

B. ANALYSIS

Akos Magyar, Estimates for the wave operator on the torus Πn . . . . . . . . . . . . . . . . 1969

Jong-Guk Bak, Sharp estimates for the Bochner-Riesz operator of negative orderin R2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1977

Todd R. Young, Ck conjugacy of 1-d diffeomorphisms with periodic points . . . . 1987

Philip Korman, Solution curves for semilinear equations on a ball . . . . . . . . . . . . . . 1997

Sergey Dorofeev and Klaus Thomsen, Formulae and continuity for the indexof subfactors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2007

Shiying Zhao, Weighted weak-type inequalities for the maximal function ofnonnegative integral transforms over approach regions . . . . . . . . . . . . . . . . . . . . . 2013

Anthony To-ming Lau, Peter F. Mah, and Ali Ulger, Fixed point propertyand normal structure for Banach spaces associated to locally compact groups 2021

Marta Kosek, Holder continuity property of filled-in Julia sets in Cn . . . . . . . . . . . 2029

M. Cabrera and J. Martınez, Inner derivations on ultraprime normed algebras 2033

Jitsuro Sugie, Rie Kohno, and Rinko Miyazaki, On a predator-prey systemof Holling type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2041

Jacqui Ramagge and Guyan Robertson, Factors from trees . . . . . . . . . . . . . . . . . 2051

H. Aimar, L. Forzani, and F. J. Martın-Reyes, On weighted inequalities forsingular integrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2057

Rustum Choksi and Irene Fonseca, A change of variables formula for mappingsin BV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2065

Candido Pineiro, On p-summable sequences in the range of a vector measure . . 2073

Motoko Kotani, Harmonic 2-spheres with r pairs of extra eigenfunctions . . . . . . . 2083

Frank Hansen, Jensen’s operator inequality for functions of two variables . . . . . . 2093

Paul W. Eloe and Johnny Henderson, Inequalities based on a generalizationof concavity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2103

Huu Hung Bui, A Hilbert C*-module method for Morita equivalence of twistedcrossed products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2109

Milutin R. Dostanic, On an inequality of Friedrich’s type . . . . . . . . . . . . . . . . . . . . . 2115

Norbert Patzschke, The strong open set condition in the random case . . . . . . . . . 2119

Janusz Brzdek, On orthogonally exponential and orthogonally additive mappings 2127

Donald Sarason, Local Dirichlet spaces as de Branges-Rovnyak spaces . . . . . . . . . 2133












































Tomek Bartoszynski, Splitting number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2141

Daniel T. Stallworth and Fred W. Roush, An undecidable property of definiteintegrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2147

G. TOPOLOGY

F. Azarpanah, Intersection of essential ideals in C(X) . . . . . . . . . . . . . . . . . . . . . . . . . 2149

A. N. Dranishnikov, On Chogoshvili’s conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2155

Kamel N. Haddad and Aimee S. A. Johnson, Auslander systems . . . . . . . . . . 2161

H. R. Ebrahimi-Vishki and M. A. Pourabdollah, The universal nilpotentgroup compactification of a semigroup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2171

Peter W. Michor, Basic differential forms for actions of Lie groups. II . . . . . . . . . 2175

G. Levin and F. Przytycki, When do two rational functions have the same Juliaset? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2179

SHORTER NOTES

A. V. Kelarev, A primitive ring which is a sum of two Wedderburn radical subrings 2191

M. Chuaqui, B. Osgood, and D. Stowe, Functions with prescribedquasisymmetry quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2195

Vol. 125, No. 8 Whole No. 458 August 1997


Eric S. Brussel, Wang counterexamples lead to noncrossed products . . . . . . . . . . . 2199

Alberto Elduque and Jose Marıa Perez, Infinite dimensional quadratic formsadmitting composition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2207

Ido Efrat, Lifting of generating subgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2217

Jungkai Alfred Chen, On genera of smooth curves in higher dimensional varieties 2221

Christopher Parker and Peter Rowley, Quadratic functions and GF (q)-groups 2227

Surjeet Singh, Artinian right serial rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2239

Josef Mattes, Functions on the moduli space of flat G2-connections on a Riemannsurface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2241

Jeno Szigeti, New determinants and the Cayley-Hamilton Theorem for matricesover Lie nilpotent rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2245

Seng-Kiat Chua and San Ling, On the rational cuspidal subgroup and therational torsion points of J0(pq) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2255

Lutz Heindorf, On subalgebras of Boolean interval algebras . . . . . . . . . . . . . . . . . . . . 2265

B. ANALYSIS

Junyu Wang, The existence of positive solutions for the one-dimensional p-Laplacian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2275

P. Domanski, M. Lindstrom, and G. Schluchtermann, Grothendieckoperators on tensor products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2285

Jim Qile Sun, The modular inequalities for a class of convolution operators onmonotone functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2293

L. C. Leinbach and Bertram Yood, Commutativity criteria for Banach ∗-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2307





































Robin Harte and Woo Young Lee, On the bounded closure of the range of anoperator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2313

C.-S. Lin, Heinz’s inequality and Bernstein’s inequality . . . . . . . . . . . . . . . . . . . . . . . . . 2319

Jacek R. Jachymski, Equivalence of some contractivity properties over metricalstructures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2327

Jari Taskinen, Factorization of holomorphic mappings on C(K)–spaces . . . . . . . . 2337

Maciej Kocan and Xu-Jia Wang, On the generalized Stepanov theorem . . . . . 2347

Ioana Cioranescu and Carlos Lizama, Some applications of Fejer’s theorem tooperator cosine functions in Banach spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2353

Paul F. X. Muller and Gideon Schechtman, A remarkable rearrangement ofthe Haar system in Lp . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2363

Brian Forrest, Weak amenability and the second dual of the Fourier algebra . . . 2373

Vasile Lauric, Operators α-commuting with a compact operator . . . . . . . . . . . . . . . . 2379

Jiye Yu, A counterexample to the existence of peaking functions . . . . . . . . . . . . . . . . 2385

Roman Drnovsek, On reducibility of semigroups of compact quasinilpotentoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2391

Earl Berkson, Maciej Paluszynski, and Guido Weiss, Wavelet decompositionsof Fourier multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2395

W. J. Ricker, Existence of Bade functionals for complete Boolean algebras ofprojections in Frechet spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2401


Mihai Putinar, A note on Tchakaloff’s Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2409

D. GEOMETRY

Maks A. Akivis and Vladislav V. Goldberg, A conformal differential invariantand the conformal rigidity of hypersurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2415

B. V. Dekster, The Jung Theorem in metric spaces of curvature bounded above 2425


James Cummings, Souslin trees which are hard to specialise . . . . . . . . . . . . . . . . . . . 2435

Jindrich Zapletal, Keeping additivity of the null ideal small . . . . . . . . . . . . . . . . . . . 2443


Kimberly K. J. Kinateder and Patrick McDonald, Hypersurfaces in Rd andthe variance of exit times for Brownian motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2453

G. TOPOLOGY

Max Neumann-Coto, On the double curves of least area tori . . . . . . . . . . . . . . . . . . 2463

Jeffrey D. Adler, Self-contragredient supercuspidal representations of GLn . . . . . 2471

E. Sommers, The homology of the space of affine flags containing a nilpotentelement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2481

Oleg S. Svidersky, Decomposition of a vector field in a parallelized inducedbundle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2485

Sol Schwartzman, Poincare flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2493

Jan J. Dijkstra and Jan van Mill, Two point set extensions— a counterexample. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2501

Alan Dow and Elliott Pearl, Homogeneity in powers of zero-dimensional first-countable spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2503

Yu. B. Rudyak, On the Ganea conjecture for manifolds . . . . . . . . . . . . . . . . . . . . . . . . 2511









































Vol. 125, No. 9 Whole No. 459 September 1997


Robert Gilmer and William Heinzer, Every local ring is dominated by a one-dimensional local ring . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2513

Mei-Chu Chang, Inequidimensionality of Hilbert schemes . . . . . . . . . . . . . . . . . . . . . . 2521

E. Javier Elizondo, The ring of global sections of multiples of a line bundle on atoric variety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2527

Tejinder S. Neelon, On solutions of real analytic equations . . . . . . . . . . . . . . . . . . . . 2531

Thomas Bauer, Smooth Kummer surfaces in projective three-space . . . . . . . . . . . . 2537

Djurdje Cvijovic and Jacek Klinowski, Continued-fraction expansions for theRiemann zeta function and polylogarithms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2543

Gabor Elek, The K-theory of Gromov’s translation algebras and the amenabilityof discrete groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2551

Stuart A. Steinberg, A characterization of rings in which each partial order iscontained in a total order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2555

Peter Danchev, Commutative group algebras of σ-summable abelian groups . . . 2559

Konstanze Rietsch, The infinitesimal cone of a totally positive semigroup . . . . . 2565

B. ANALYSIS

Andrey Y. Biyanov, Characterization of the duals of lattices of continuousfunctions with respect to disjointness preserving groups . . . . . . . . . . . . . . . . . . . . 2571

Wilhelm Schwick, On Korenblum’s maximum principle . . . . . . . . . . . . . . . . . . . . . . . . 2581

Xingfu Zou and Jianhong Wu, Existence of traveling wave fronts in delayedreaction-diffusion systems via the monotone iteration method . . . . . . . . . . . . . . 2589

Juan J. Nieto, Generalized quasilinearization method for a second order ordinarydifferential equation with Dirichlet boundary conditions . . . . . . . . . . . . . . . . . . . . 2599

Hong-Kun Xu and Juan J. Nieto, Extremal solutions of a class of nonlinearintegro-differential equations in Banach spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2605

Peter Turbek, A necessary and sufficient condition for lifting the hyperellipticinvolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2615

Branko Curgus and Branko Najman, Preservation of the range underperturbations of an operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2627

J. Garcıa-Falset, A. Jimenez-Melado, and E. Llorens-Fuster, Isomorphicallyexpansive mappings in l2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2633

Liangqing Li, Cellular filtration of K-theory and determinants of C∗-algebras . . . 2637

Nik Weaver, Quotients of little Lipschitz algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2643

J. Cano, Construction of invariant curves for singular holomorphic vector fields . 2649

Hajrudin Fejzic and Dan Rinne, Peano path derivatives . . . . . . . . . . . . . . . . . . . . . 2651

Gert K. Pedersen, A strict version of the non-commutative Urysohn Lemma . . 2657

Mohammed Taghi Jahandideh, On the ideal-triangularizability of positiveoperators on Banach lattices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2661

Huaxin Lin, Type I C∗-algebras of real rank zero . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2671

Peter Semrl, Local automorphisms and derivations on B(H) . . . . . . . . . . . . . . . . . . . 2677

Seppo Hassi, Michael Kaltenback, and Henk de Snoo, A characterization ofsemibounded selfadjoint operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2681

D. GEOMETRY

Hu Ze-Jun and Zhao Guo-Song, Isometric immersions from the hyperbolic spaceH2(−1) into H3(−1) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2693

Yiping Mao, A converse of the Gelfand theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2699














































James Cummings, Collapsing successors of singulars . . . . . . . . . . . . . . . . . . . . . . . . . . 2703

Francoise Delon, Q muni de l’arithmetique faible de Penzin est decidable . . . . . . 2711

Marion Scheepers, Open covers and the square bracket partition relation . . . . . . 2719

G. TOPOLOGY

Alexander Ioffe and Efim Schwartzman, An extension of the Rabinowitzbifurcation theorem to Lipschitz potential operators in Hilbert spaces . . . . . . 2725

Robert J. Archbold and Eberhard Kaniuth, Simply connected nilpotent Liegroups with quasi-standard C∗-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2733

Huajian Yang, Stable orders of stunted lens spaces mod 2v . . . . . . . . . . . . . . . . . . . . 2743

Norio Iwase, Adjoint action of a finite loop space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2753

Gabriel P. Paternain, Topological entropy for geodesic flows on fibre bundles overrationally hyperbolic manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2759

Nazih Nahlus, Note on faithful representations and a local property of Lie groups 2767

Michael Levin and Yaki Sternfeld, The space of subcontinua of a 2-dimensionalcontinuum is infinite dimensional . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2771

Bernd Gunther, Construction of ANR topologies on certain groups . . . . . . . . . . . . 2777

Anthony H. Dooley and Genkai Zhang, Generalized principal seriesrepresentations of SL(1 + n, C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2779

Marion Scheepers, A sequential property of Cp(X) and a covering property ofHurewicz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2789

Liviu I. Nicolaescu, On the cobordism invariance of the index of Dirac operators 2797

Shuguang Wang, Branched covers along real parts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2803

Katsuro Sakai, Semi-free actions of zero-dimensional compact groups on Mengercompacta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2809

ADDENDA

I. Moerdijk, An addendum to “Path-lifting for Grothendieck toposes” . . . . . . . . . . 2815

Vol. 125, No. 10 Whole No. 460 October 1997


E. Ballico, On the number of components of the moduli schemes of stable torsion-free sheaves on integral curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2819

Zhao Yicai, On the intersection property of Dubrovin valuation rings . . . . . . . . . . . 2825

Diane Benjamin, Coprimeness among irreducible character degrees of finitesolvable groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2831

Peter G. Ovchinnikov, Exact topological analogs to orthoposets . . . . . . . . . . . . . . 2839

B. A. F. Wehrfritz, On ‘Clifford’s Theorem’ for primitive finitary groups . . . . . . 2843

Yongchang Zhu, A commuting pair in Hopf algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . 2847

D. D. Anderson and Moshe Roitman, A characterization of cancellation ideals 2853


































B. ANALYSIS

Armen Edigarian, On the product property of the pluricomplex Green function 2855

Ferdinand Beckhoff, Topologies on the ideal space of a Banach algebra andspectral synthesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2859

Guoen Hu and Shanzhen Lu, A weighted L2 estimate for the commutator ofthe Bochner-Riesz operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2867

W. E. Longstaff and Oreste Panaia, On the ranks of single elements of reflexiveoperator algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2875

Chen Di-Rong, On the existence and constructions of orthonormal wavelets onL2(Rs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2883

Jesus Garcia Falset and Brailey Sims, Property (M) and the weak fixed pointproperty . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2891

Juan Carlos Dıaz and Susanne Dierolf, On duals of weakly acyclic (LF )-spaces 2897

Daniella Bekiranov, Takayoshi Ogawa, and Gustavo Ponce, Weak solvabilityand well-posedness of a coupled Schrodinger-Korteweg de Vries equation forcapillary-gravity wave interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2907

Naoki Shioji, Existence of periodic solutions for nonlinear evolution equations withpseudo monotone operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2921

G. I. Eleutheriadis, An improved estimate for the highest Lyapunov exponent inthe method of freezing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2931

Yong Ding, Weak type bounds for a class of rough operators with power weights 2939

Sze-Man Ngai, A dimension result arising from the Lq-spectrum of a measure . . 2943

Salvatore A. Marano, Elliptic eigenvalue problems with highly discontinuousnonlinearities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2953

Yuan Xu, Integration of the intertwining operator for h-harmonic polynomialsassociated to reflection groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2963

Harold P. Boas and Dmitry Khavinson, Bohr’s power series theorem in severalvariables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2975

Gui-Qiang Chen, Remarks on DiPerna’s paper “Convergence of the viscositymethod for isentropic gas dynamics” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2981

Boo Rim Choe, Wade Ramey, and David Ullrich, Bloch-to-BMOA pullbackson the disk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2987

D. GEOMETRY

Zu-Huan Yu, The value distribution of the hyperbolic Gauss map . . . . . . . . . . . . . . 2997

Richard Randell, Milnor fibrations of lattice-isotopic arrangements . . . . . . . . . . . . 3003

Joseph E. Borzellino, Orbifolds with lower Ricci curvature bounds . . . . . . . . . . . . 3011


Claude Laflamme, Combinatorial aspects of Fσ filters with an application to N -sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3019

Miroslav Zeleny, Calibrated thin Π1

1 σ-ideals are Gδ . . . . . . . . . . . . . . . . . . . . . . . . . . 3027

Rodney G. Downey and Richard A. Shore, There is no degree invariant half-jump . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3033

G. TOPOLOGY

Michael Heusener and Eric Klassen, Deformations of dihedral representations 3039

Lee Rudolph, The slice genus and the Thurston-Bennequin invariant of a knot 3049

Olivier Courcelle, Jean-Marc Gambaudo, and Charles Tresser, Nielsen-Thurston reducibility and renormalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3051

Marc Culler and Peter B. Shalen, Volumes of hyperbolic Haken manifolds, II 3059













































Sergio Macıas, Hyperspaces and cones . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3069

Nguyen To Nhu, Jose M. R. Sanjurjo, and Tran Van An, The AR-propertyfor Roberts’ example of a compact convex set with no extreme points Part 1:General result . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3075

Nguyen To Nhu, Jose M. R. Sanjurjo, and Tran Van An, The AR-propertyfor Roberts’ example of a compact convex set with no extreme points Part 2:Application to the example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3089

Nancy Hingston, On the lengths of closed geodesics on a two-sphere . . . . . . . . . . . 3099

Susana A. Salamanca–Riba, On the unitary dual of the classical Lie groups,representations of Sp(p, q) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3107

Sanxing Wu, Prescribing Gaussian curvature on R2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3119

SHORTER NOTES

Leonard R. Rubin, Cohomological dimension and approximate limits . . . . . . . . . . 3125

K. Jarosz, LipHol(X, α) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3129

ERRATA

Jerome Buzzi, Erratum to “Number of equilibrium states of piecewise monotonicmaps of the interval” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3131

Vol. 125, No. 11 Whole No. 461 November 1997


Hao Chen, A remark on the liftable derivation of moduli algebras of isolatedhypersurface singularities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3133

Klaus G. Fischer, Walter Morris, and Jay Shapiro, Affine semigroup ringsthat are complete intersections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3137

Thomas C. Craven, A weak version of Rolle’s theorem . . . . . . . . . . . . . . . . . . . . . . . . 3147

Timothy Y. Chow, The Q-spectrum and spanning trees of tensor products ofbipartite graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3155

Pietro Cornacchia, The parity of the class number of the cyclotomic fields ofprime conductor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3163

Yves Martin and Ken Ono, Eta-quotients and elliptic curves . . . . . . . . . . . . . . . . . 3169

Franz-Viktor Kuhlmann, Salma Kuhlmann, and Saharon Shelah,Exponentiation in power series fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3177

Benji Fisher, A note on Hensel’s lemma in several variables . . . . . . . . . . . . . . . . . . . 3185

D. Stefan, Hopf subalgebras of pointed Hopf algebras and applications . . . . . . . . . . 3191

R. Baeza and M. I. Icaza, On Humbert-Minkowski’s constant for a number field 3195

Yann Bugeaud, On the diophantine equation x2 − 2m = ± yn . . . . . . . . . . . . . . . . . . 3203

Avner Ash, Galois representations and Hecke operators associated with the modp cohomology of GL(1, Z) and GL(2, Z) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3209

B. ANALYSIS

N. Chernyavskaya and L. Shuster, Necessary and sufficient conditions for thesolvability of a problem of Hartman and Wintner . . . . . . . . . . . . . . . . . . . . . . . . . . 3213

Soon-Yeong Chung, Dohan Kim, and Sungjin Lee, Characterization forBeurling–Bjorck space and Schwartz space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3229





































Juncheng Wei, Exact multiplicity for some nonlinear elliptic equations in balls . 3235

Benito J. Gonzalez and Emilio R. Negrin, Mehler-Fock transforms ofgeneralized functions via the method of adjoints . . . . . . . . . . . . . . . . . . . . . . . . . . . 3243

A. F. Beardon, The Schwarz-Pick Lemma for derivatives . . . . . . . . . . . . . . . . . . . . . . . 3255

V. V. Karachik, Harmonic polynomials and the divisibility problem . . . . . . . . . . . . 3257

Marshall A. Whittlesey, Approximation of singularity sets with analytic graphsover the ball in C2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3259

Nieves Castro and Miguel Reyes, Hausdorff measures and dimension on R∞ 3267

Gilbert Muraz and Pawel Szeptycki, Invariant subspaces of the maximaldomain of the Fourier transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3275

Loukas Grafakos, H1 boundedness of determinants of vector fields . . . . . . . . . . . . . 3279

Zoltan Balogh and Christoph Leuenberger, Lempert mappings and symplecticforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3289

Stephen J. Fromm and Patrick McDonald, A symmetry problem fromprobability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3293

Raul E. Curto and Carlos Hernandez G., A joint spectral characterization ofprimeness for C∗-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3299

Atsushi Inoue, Standard systems for semifinite O∗-algebras . . . . . . . . . . . . . . . . . . . . 3303

Paul S. Muhly and Jingbo Xia, Commutator ideals and semicommutator idealsof Toeplitz operators associated with flows II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3313

Raphael Cerf and Carlo Mariconda, Chebyshev measures . . . . . . . . . . . . . . . . . . . 3321

Leonhard Frerick and Jurgen Muller, Infinite Taylor interpolation . . . . . . . . . . 3331

J. Michael Pearson, A logarithmic Sobolev inequality on the real line . . . . . . . . . 3339

Yin Xi Huang, On the eigenvalues of the p-Laplacian with varying p . . . . . . . . . . . 3347

G. D. Anderson and S.-L. Qiu, A monotoneity property of the gamma function 3355

N. K. Govil and R. A. Zalik, Perturbations of the Haar wavelet . . . . . . . . . . . . . . 3363

Vasile Lauric, On the class of norm limits of nilpotents . . . . . . . . . . . . . . . . . . . . . . . . . 3371

Z. L. Chen and A. W. Wickstead, Incompleteness of the linear span of thepositive compact operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3381


C. Chicone and Y. Latushkin, The geodesic flow generates a fast dynamo: Anelementary proof . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3391

D. GEOMETRY

Jerzy Grzybowski and Ryszard Urbanski, On convex class of pairs of convexbodies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3397

Philippe Tondeur, A characterization of Riemannian flows . . . . . . . . . . . . . . . . . . . . 3403


J. L. Geluk, A renewal theorem in the finite-mean case . . . . . . . . . . . . . . . . . . . . . . . . . 3407

G. TOPOLOGY

Robin J. Cobb and Jonathan A. Hillman, S2-bundles over aspherical surfacesand 4-dimensional geometries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3415

Franz Lehner, A characterization of the Leinert property . . . . . . . . . . . . . . . . . . . . . . 3423

Dave Witte, Superrigid subgroups of solvable Lie groups . . . . . . . . . . . . . . . . . . . . . . . 3433

Saburo Matsumoto, Non-separable surfaces in cubed manifolds . . . . . . . . . . . . . . . 3439









































Vol. 125, No. 12 Whole No. 462 December 1997


Lee Mosher, A hyperbolic-by-hyperbolic hyperbolic group . . . . . . . . . . . . . . . . . . . . . . 3447

Ralph Freese, Computing congruence lattices of finite lattices . . . . . . . . . . . . . . . . . . 3457

Alexandre Turull, Cyclic by prime fixed point free action . . . . . . . . . . . . . . . . . . . . . . 3465

Rahul Pandharipande, Counting elliptic plane curves with fixed j-invariant . . . 3471

Jeffrey Bergen and Piotr Grzeszczuk, Invariants of skew derivations . . . . . . . . 3481

A. Van Daele, The Haar measure on finite quantum groups . . . . . . . . . . . . . . . . . . . . 3489

A. I. Lichtman and M. Shirvani, HNN-extensions of Lie algebras . . . . . . . . . . . . 3501

Mee-Kyoung Kim, Factorization of an integrally closed ideal in two-dimensionalregular local rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3509

Steve T. Files, The fully invariant subgroups of local Warfield groups . . . . . . . . . . 3515

Shmuel Friedland, The maximal orders of finite subgroups in GLn(Q) . . . . . . . . . 3519

B. ANALYSIS

Ha Huy Khoai, Hyperbolic surfaces in P3(C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3527

K. N. Murty, P. V. S. Anand, and V. Lakshmi Prasannam, First orderdifference system— existence and uniqueness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3533

A. Edward Nussbaum, A commutativity theorem for semibounded operators inHilbert space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3541

Jacek Dziubanski, Triebel-Lizorkin spaces associated with Laguerre and Hermiteexpansions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3547

Paul A. Binding, Pavel Drabek, and Yin Xi Huang, On the Fredholmalternative for the p-Laplacian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3555

H. Bavinck, Differential operators having Sobolev type Laguerre polynomials aseigenfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3561

Dan Coman, Domains of finite type and Holder continuity of the Perron-Bremermann function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3569

Giovanni DiLena, Basilio Messano, and Delfina Roux, Rigid sets andnonexpansive mappings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3575

Tin-Yau Tam, On a conjecture of Ridge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3581

Rafael del Rio and Barry Simon, Point spectrum and mixed spectral types forrank one perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3593

O. S. Rothaus, Some inequalities derived from log–Sobolev inequalities . . . . . . . . . 3601

Xie Ming-Qin, A generalization of the de Branges theorem . . . . . . . . . . . . . . . . . . . . . 3605

Jie Xiao, Cesaro transforms of Fourier coefficients of L∞-functions . . . . . . . . . . . . . . 3613

Tadasi Huruya, A note on p-hyponormal operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3617

J. A. Fridy and C. Orhan, Statistical limit superior and limit inferior . . . . . . . . 3625

Saburou Saitoh, Representations of inverse functions . . . . . . . . . . . . . . . . . . . . . . . . . . 3633

Naoki Shioji and Wataru Takahashi, Strong convergence of approximatedsequences for nonexpansive mappings in Banach spaces . . . . . . . . . . . . . . . . . . . . 3641

Takahiro Sudo, Stable rank of the reduced C∗-algebras of non-amenable Lie groupsof type I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3647

Masatoshi Fujii, Jian Fei Jiang, and Eizaburo Kamei, Characterization ofchaotic order and its application to Furuta inequality . . . . . . . . . . . . . . . . . . . . . . 3655

Zhiren Jin, Multiple solutions for a class of semilinear elliptic equations . . . . . . . . 3659

Paolo M. Soardi, Wavelet bases in rearrangement invariant function spaces . . . . 3669

Gerard J. Murphy, Products of positive operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3675













































Hans-Gerd Leopold and Elmar Schrohe, Invariance of the Lp spectrum forhypoelliptic operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3679

E. S. Belinsky, Summability of Fourier series with the method of lacunaryarithmetical means at the Lebesgue points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3689

Dashan Fan and Yibiao Pan, A singular integral operator with rough kernel . 3695

D. GEOMETRY

Vestislav Apostolov, Georgi Ganchev, and Stefan Ivanov, CompactHermitian surfaces of constant antiholomorphic sectional curvatures . . . . . . . . 3705


Paul Bankston, Co-elementary equivalence, co-elementary maps, and generalizedarcs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3715


Zhiqiang Chen, Herman Rubin, and Richard A. Vitale, Independence anddetermination of probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3721

G. TOPOLOGY

Janusz J. Charatonik and W lodzimierz J. Charatonik, Open mappingsincreasing order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3725

W. G. Dwyer and J. M. Møller, Homotopy fixed points for cyclic p-groupactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3735

W. F. Lindgren and A. A. Szymanski, A non-pseudocompact product ofcountably compact spaces via Seq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3741

Amiya Mukherjee and Aniruddha C. Naolekar, Equivariant acyclic maps . 3747

David Copeland Johnson and W. Stephen Wilson, On a theorem of Ossa . 3753

Jonathan Block, Varghese Mathai, and Shmuel Weinberger, Homotopyinvariance of Novikov-Shubin invariants and L2 Betti numbers . . . . . . . . . . . . . 3757

Jim Bryan and Marc Sanders, The rank stable topology of instantons on CP2

3763

SHORTER NOTES

John A. Ewell, On an identity of Ramanujan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3769
























Editorial Information

To be published in the Proceedings, a paper must be correct, new, nontrivial, andsignificant. Further, it must be well written and of interest to a substantial number ofmathematicians. Piecemeal results, such as an inconclusive step toward an unprovedmajor theorem or a minor variation on a known result, are in general not acceptablefor publication. Proceedings Editors solicit and encourage publication of worthy papersof length not exceeding 10 published pages. Published pages are the same size as thosegenerated in the style files provided for AMS-LATEX or AMS-TEX .

Very short notes not to exceed two printed pages are also accepted, and appear underthe heading Shorter Notes. Items deemed suitable include an elegant new proof of animportant and well-known theorem, an illuminating example or counterexample, or a newviewpoint on familiar results. New results, if of a brief and striking character, might alsobe acceptable, though in general a paper which is merely very short will not be suitablefor the Shorter Notes department.

As of August 31, 1997, the backlog for this journal was approximately 10 issues. Thisestimate is the result of dividing the number of manuscripts for this journal in the Provi-dence office that have not yet gone to the printer on the above date by the average num-ber of articles per issue over the previous twelve months, reduced by the number of issuespublished in four months (the time necessary for editing and composing a typical issue).

A Consent to Publish and Copyright Agreement is required before a paper will bepublished in this journal. After a paper is accepted for publication, the Providence officewill send out a Consent to Publish and Copyright Agreement to all authors of the paper.By submitting a paper to this journal, authors certify that the results have not been sub-mitted to nor are they under consideration for publication by another journal, conferenceproceedings, or similar publication.

Information for Authors

Initial submission. Two copies of the paper should be sent directly to the appropriateEditor and the author should keep a copy.

The first page of an article must consist of a descriptive title, followed by an abstract

that summarizes the article in language suitable for workers in the general field (algebra,analysis, etc.). The descriptive title should be short, but informative; useless or vaguephrases such as “some remarks about” or “concerning” should be avoided. The abstract

should be at least one complete sentence, and at most 150 words. Included with thefootnotes to the paper, there should be the 1991 Mathematics Subject Classification rep-resenting the primary and secondary subjects of the article. This may be followed by a listof key words and phrases describing the subject matter of the article and taken from it. Alist of classifications may be found in the annual index of Mathematical Reviews, publishedwith the December issue starting in 1990. Journal abbreviations used in bibliographiesare also listed in the latest Mathematical Reviews annual index. The classifications andthe journal abbreviations are accessible from e-MATH via the World Wide Web throughthe URL http : //www.ams.org/committee/publications/mr-info.html or via FTP toe-math.ams.org (login as anonymous and enter username as password). The classifica-tions are available as a browsable list and the journal abbreviations are available througha search tool. When the manuscript is submitted, authors should supply the editor withelectronic addresses if available. These will be printed after the postal address at the endof each article.

Electronically prepared manuscripts. The AMS encourages electronically pre-pared manuscripts, with a strong preference for AMS-LATEX. To this end, the Societyhas prepared AMS-LATEX author packages for each AMS publication. Author packagesinclude instructions for preparing electronic manuscripts, the AMS Author Handbook, sam-ples, and a style file that generates the particular design specifications of that publicationseries. Articles properly prepared using the AMS-LATEX style file automatically providehypertext linking to the bibliography and other elements of the article for searching elec-tronically on the World Wide Web. Because linking must often be added manually toelectronically prepared manuscripts in other forms of TEX, using AMS-LATEX also reducesthe amount of technical intervention once the files are received by the AMS. This results

in fewer errors in processing and saves the author proofreading time. AMS-LATEX papersalso move more efficiently through the production stream, helping to minimize publishingcosts.

AMS-LATEX is the highly preferred format of TEX, but author packages are also availablein AMS-TEX. Those authors who make use of these style files from the beginning of thewriting process will further reduce their own efforts. Manuscripts prepared electronicallyin LATEX or plain TEX are normally not acceptable due to the high amount of technical timerequired to insure that the file will run properly through the AMS in-house productionsystem. LATEX users will find that AMS-LATEX is the same as LATEX with additionalcommands to simplify the typesetting of mathematics, and users of plain TEX should havethe foundation for learning AMS-LATEX.

Authors may retrieve an author package from e-MATH via the World Wide Webthrough the URL http : //www.ams.org/tex/ or via FTP to e-math.ams.org (login asanonymous and enter username as password). The author package can also be obtainedfree of charge by sending e-mail to [email protected] (Internet) or from the Publication Divi-sion, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-6248. Whenrequesting an author package, please specify AMS-LATEX or AMS-TEX, Macintosh orIBM (3.5) format, and the publication in which your paper will appear. Please be sure toinclude your complete mailing address.

At the time of submission, authors should indicate if the paper has been prepared usingAMS-LATEX or AMS-TEX and provide the Editor with a paper manuscript that matchesthe electronic manuscript. The final version of the electronic manuscript should be sentto the Providence office immediately after the paper has been accepted for publication.The author should also send the final version of the paper manuscript to the Editor, whowill forward a copy to the Providence office. Editors will require authors to send theirelectronically prepared manuscripts to the Providence office in a timely fashion. Electron-ically prepared manuscripts can be sent via e-mail to [email protected] (Internet) oron diskette to the Electronic Prepress Department, American Mathematical Society, P.O.Box 6248, Providence, RI 02940-6248. When sending a manuscript electronically, pleasebe sure to include a message indicating in which publication the paper has been accepted.No corrections will be accepted electronically. Authors must mark their changes on theirproof copies and return them to the Providence office. Complete instructions on how tosend files are included in the author package.

Electronic graphics. Figures may be sent to the AMS in an electronic format. TheAMS recommends that graphics created electronically be saved in Encapsulated PostScript(EPS) format. This includes graphics originated via a graphics application as well asscanned photographs or other computer-generated images.

If the graphics package used does not support EPS output, the graphics file should besaved in one of the standard graphics formats—such as TIFF, PICT, GIF, etc.—ratherthan in an application-dependent format. Graphics files sent in an application-dependentformat are not likely to be used. No matter what method was used to produce the graphic,it is necessary to provide a paper copy to the AMS.

Authors using graphics packages for the creation of electronic art should also avoid theuse of any lines thinner than 0.5 points in width. Many graphics packages allow the userto specify a “hairline” for a very thin line. Hairlines often look acceptable when proofedon a typical laser printer. However, when produced on a high-resolution laser imagesetter,hairlines become nearly invisible and will be lost entirely in the final printing process.

Screens should be set to values between 15% and 85%. Screens which fall outside ofthis range are too light or too dark to print correctly.

TEX files available. Beginning with the January 1992 issue of the Bulletin and theJanuary 1996 issues of Transactions, Proceedings, Mathematics of Computation, and theJournal of the AMS, TEX files can be downloaded from e-MATH, starting from URLhttp : //www.ams.org/journals/. Authors without Web access may request their files atthe address given below after the article has been published. For Bulletin papers publishedin 1987 through 1991 and for Transactions, Proceedings, Mathematics of Computation, andthe Journal of the AMS papers published in 1987 through 1995, TEX files are availableupon request for authors without Web access by sending e-mail to [email protected]

or by contacting the Electronic Prepress Department, American Mathematical Society,P.O. Box 6248, Providence, RI 02940-6248. The request should include the title of thepaper, the name(s) of the author(s), the name of the publication in which the paper hasor will appear, and the volume and issue numbers if known. The TEX file will be sentto the author making the request after the article goes to the printer. If the requestorcan receive Internet e-mail, please include the e-mail address to which the file shouldbe sent. Otherwise please indicate a diskette format and postal address to which a diskshould be mailed. Note: Because TEX production at the AMS sometimes requires extrafonts and macros that are not yet publicly available, TEX files cannot be guaranteed torun through the author’s version of TEX without errors. The AMS regrets that it cannotprovide support to eliminate such errors in the author’s TEX environment.

Any inquiries concerning a paper that has been accepted for publication should be sentdirectly to the Electronic Prepress Department, American Mathematical Society, P.O. Box6248, Providence, RI 02940-6248.

Editors

Authors are requested to send papers directly to the appropriate Editor (the one whosearea of responsibility and expertise, as described below, most closely approximates thesubject field of the manuscript). Only when in doubt about an appropriate Editor, shouldmanuscripts be sent to the Coordinating Editor responsible for the area in mathematicsmost closely connected to the paper. If in doubt about the area, send the manuscript tothe Managing Editor, to whom all other communication about the journal should also beaddressed. (All addresses should include the line “Department of Mathematics”, unlessanother department is indicated.)

Managing Editor: Clifford J. Earle, Jr., Cornell University, White Hall, Ithaca, NY14853-7901; e-mail: [email protected]

1. ODE, PDE, GLOBAL ANALYSIS, AND DYNAMICAL SYSTEMSCoordinating Editor: Linda Keen, CUNY-Lehman College, Bronx, NY 10468; e-mail:[email protected]

Partial differential equations, Jeffrey B. Rauch, University of Michigan, Angell Hall,Ann Arbor, MI 48109; e-mail: [email protected]

Dynamical systems and ergodic theory, Mary Rees, Department of PureMathematics, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, UnitedKingdom; e-mail: [email protected]

Ordinary differential equations and special functions, Hal L. Smith, ArizonaState University, Tempe, AZ 85287; e-mail: [email protected]

Global analysis, Jozef Dodziuk, Ph.D. Program in Mathematics, Graduate School andUniversity Center (CUNY), 33 West 42nd Street, New York, NY 10036; e-mail: [email protected]

2. LIE GROUPS, TOPOLOGY, AND GEOMETRYCoordinating Editor: Peter Li, University of California, Irvine, CA 92717; e-mail: [email protected]

Topological groups and Lie groups (symmetric spaces), Roe Goodman, RutgersUniversity, New Brunswick, NJ 08903-2101; e-mail: [email protected]

Riemannian geometry (including affine, pseudo-Riemannian, contact, clas-sical, and Lorentzian geometries), Christopher Croke, University of Pennsylvania,Philadelphia, PA 19104-6317; e-mail: [email protected]

Geometric analysis (geometric PDE, minimal surfaces, harmonic maps) andKahler geometry, Peter Li

Algebraic topology, Ralph Cohen, Stanford University, Stanford, CA 94305-2060;e-mail: [email protected]

Set-theoretic and general topology, Alan Dow, York University, North York,Ontario, Canada M3J 1P3; e-mail: [email protected]

Low dimensional topology, gauge theory, 4-manifolds, Ronald A. Fintushel,Michigan State University, East Lansing, MI 48824-1027; e-mail: [email protected].

edu

Complex and Kahler geometry, Les Saper, Duke University, Durham, NC 27708-0320; e-mail: [email protected]

3. ANALYSIS AND OPERATOR THEORYCoordinating Editor: Eric Bedford, Department of Mathematics, Indiana University,Bloomington, IN 47405; e-mail: [email protected]

One complex variable and potential theory, Albert Baernstein II, WashingtonUniversity, St. Louis, MO 63130-4899; e-mail: [email protected]

Functional analysis, Dale Alspach, Oklahoma State University, Stillwater, OK 74078-0613; e-mail: [email protected]

Complex variables, functional analysis, and operator theory, Theodore W.Gamelin, University of California, Los Angeles, CA 90095-1555; e-mail: twg@math.

ucla.edu

Functional analysis and operator theory, David R. Larson, Texas A & MUniversity, College Station, TX 77843-3368; e-mail: [email protected]

Harmonic analysis, Christopher D. Sogge, Johns Hopkins University, Baltimore, MD21218; e-mail: [email protected]

Classical real analysis and measure theory, Frederick W. Gehring, University ofMichigan, Ann Arbor, MI 48109-1003; e-mail: [email protected]

Analytic number theory and automorphic forms, Dennis A. Hejhal, School ofMathematics, University of Minnesota, Minneapolis, MN 55455-0488; e-mail: hejhal@

math.umn.edu

Several complex variables, Steven R. Bell, Purdue University, West Lafayette, IN47907-1395; e-mail: [email protected]

4. ALGEBRA, NUMBER THEORY, AND COMBINATORICSCoordinating Editor: Lance W. Small, University of California San Diego, La Jolla, CA92093-0112; e-mail: [email protected]

General number theory, David E. Rohrlich, Boston University, 111 CummingtonSt., Boston, MA 02215-2411; e-mail: [email protected]

General algebra, Lance W. Small

Commutative algebra, Wolmer V. Vasconcelos, Rutgers University, New Brunswick,NJ 08903-2101; e-mail: [email protected]

Group theory, Ronald M. Solomon, Ohio State University, Columbus, OH 43210-1101; e-mail: [email protected]

Algebraic geometry, Ron Donagi, University of Pennsylvania, Philadelphia, PA19104-6395; e-mail: [email protected]

Combinatorics, Jeffry N. Kahn, Rutgers University, New Brunswick, NJ 08903-2101;e-mail: [email protected]

Analytic number theory and automorphic forms, Dennis A. Hejhal, School ofMathematics, University of Minnesota, Minneapolis, MN 55455-0488; e-mail: hejhal@

math.umn.edu

Logic and foundations, Carl G. Jockusch, Jr., University of Illinois, 1409 W. GreenSt., Urbana, IL 61801-2917; e-mail: [email protected]

Lie algebras and Lie groups, Roe Goodman, Rutgers University, New Brunswick,NJ 08903-2101; e-mail: [email protected]

Noncommutative rings, Ken Goodearl, University of California, Santa Barbara, CA93106; e-mail: [email protected]

5. APPLIED MATHEMATICS, PROBABILITY, AND STATISTICSCoordinating Editor: James Glimm, Department of Applied Mathematics and Statis-tics, SUNY at Stony Brook, Stony Brook, NY 11794-3600; e-mail: [email protected]

Probability, Stanley Sawyer, Washington University, St. Louis, MO 63130-4899;e-mail: [email protected]

Statistics, Wei Y. Loh, Department of Statistics, University of Wisconsin, Madison,WI 53706-1693; e-mail: [email protected]

Applied mathematics, David Sharp, Theoretic Division, Los Alamos NationalLaboratory MSB285, Los Alamos, NM 87545; e-mail: [email protected]

Control theory, John A. Burns, Interdisciplinary Center for Applied Mathematics,Virginia Polytech Institute, Blacksburg, VA 24061-0531; e-mail: [email protected]

Hyperbolic partial differential equations, Suncica Canic, Iowa State University,Ames, IA 50010; e-mail: [email protected]

(Continued from back cover)

Takahiro Sudo, Stable rank of the reduced C∗-algebras of non-amenable Lie groupsof type I . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3647

Masatoshi Fujii, Jian Fei Jiang, and Eizaburo Kamei, Characterization ofchaotic order and its application to Furuta inequality . . . . . . . . . . . . . . . . . . . . . . 3655

Zhiren Jin, Multiple solutions for a class of semilinear elliptic equations . . . . . . . . 3659

Paolo M. Soardi, Wavelet bases in rearrangement invariant function spaces . . . . 3669

Gerard J. Murphy, Products of positive operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3675

Hans-Gerd Leopold and Elmar Schrohe, Invariance of the Lp spectrum forhypoelliptic operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3679

E. S. Belinsky, Summability of Fourier series with the method of lacunaryarithmetical means at the Lebesgue points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3689

Dashan Fan and Yibiao Pan, A singular integral operator with rough kernel . 3695

D. GEOMETRY

Vestislav Apostolov, Georgi Ganchev, and Stefan Ivanov, CompactHermitian surfaces of constant antiholomorphic sectional curvatures . . . . . . . . 3705


Paul Bankston, Co-elementary equivalence, co-elementary maps, and generalizedarcs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3715


Zhiqiang Chen, Herman Rubin, and Richard A. Vitale, Independence anddetermination of probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3721

G. TOPOLOGY

Janusz J. Charatonik and W lodzimierz J. Charatonik, Open mappingsincreasing order . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3725

W. G. Dwyer and J. M. Møller, Homotopy fixed points for cyclic p-groupactions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3735

W. F. Lindgren and A. A. Szymanski, A non-pseudocompact product ofcountably compact spaces via Seq . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3741

Amiya Mukherjee and Aniruddha C. Naolekar, Equivariant acyclic maps . 3747

David Copeland Johnson and W. Stephen Wilson, On a theorem of Ossa . 3753

Jonathan Block, Varghese Mathai, and Shmuel Weinberger, Homotopyinvariance of Novikov-Shubin invariants and L2 Betti numbers . . . . . . . . . . . . . 3757

Jim Bryan and Marc Sanders, The rank stable topology of instantons on CP2

3763

SHORTER NOTES

John A. Ewell, On an identity of Ramanujan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3769

Proceedings of the American Mathematical Society

Documents

Transcript of Proceedings of the American Mathematical Society