Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Contents of Volume 131, Number 4
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Polynomial Pell’s equation: William A. Webb and Hisashi Yokota; Proc. Amer. Math. Soc. 131 (2003), 993-1006; DOI: https://doi.org/10.1090/S0002-9939-02-06934-4; Published electronically: November 6, 2002; PDF

Inverse limits of algebras as retracts of their direct products: A. Laradji; Proc. Amer. Math. Soc. 131 (2003), 1007-1010; DOI: https://doi.org/10.1090/S0002-9939-02-06666-2; Published electronically: September 25, 2002; PDF

Finiteness of representation dimension: Osamu Iyama; Proc. Amer. Math. Soc. 131 (2003), 1011-1014; DOI: https://doi.org/10.1090/S0002-9939-02-06616-9; Published electronically: July 17, 2002; PDF

Reduction numbers and initial ideals: Aldo Conca; Proc. Amer. Math. Soc. 131 (2003), 1015-1020; DOI: https://doi.org/10.1090/S0002-9939-02-06607-8; Published electronically: June 12, 2002; PDF

Fuchs’ problem 34 for mixed Abelian groups: Ulrich Albrecht; Proc. Amer. Math. Soc. 131 (2003), 1021-1029; DOI: https://doi.org/10.1090/S0002-9939-02-06612-1; Published electronically: August 19, 2002; PDF

On functions whose graph is a Hamel basis: Krzysztof Płotka; Proc. Amer. Math. Soc. 131 (2003), 1031-1041; DOI: https://doi.org/10.1090/S0002-9939-02-06620-0; Published electronically: August 28, 2002; PDF

On a theorem of R. Steinberg on rings of coinvariants: Larry Smith; Proc. Amer. Math. Soc. 131 (2003), 1043-1048; DOI: https://doi.org/10.1090/S0002-9939-02-06629-7; Published electronically: July 26, 2002; PDF

Factorization of monic polynomials: William J. Heinzer and David C. Lantz; Proc. Amer. Math. Soc. 131 (2003), 1049-1052; DOI: https://doi.org/10.1090/S0002-9939-02-06636-4; Published electronically: July 26, 2002; PDF

Catalan paths and quasi-symmetric functions: J.-C. Aval and N. Bergeron; Proc. Amer. Math. Soc. 131 (2003), 1053-1062; DOI: https://doi.org/10.1090/S0002-9939-02-06634-0; Published electronically: July 26, 2002; PDF

Average values of symmetric square $L$-functions at the edge of the critical strip: J. Wu; Proc. Amer. Math. Soc. 131 (2003), 1063-1070; DOI: https://doi.org/10.1090/S0002-9939-02-06725-4; Published electronically: July 26, 2002; PDF

Random walks on abelian-by-cyclic groups: Christophe Pittet and Laurent Saloff-Coste; Proc. Amer. Math. Soc. 131 (2003), 1071-1079; DOI: https://doi.org/10.1090/S0002-9939-02-06674-1; Published electronically: September 5, 2002; PDF

The short resolution of a lattice ideal: Pilar Pisón Casares; Proc. Amer. Math. Soc. 131 (2003), 1081-1091; DOI: https://doi.org/10.1090/S0002-9939-02-06767-9; Published electronically: September 19, 2002; PDF

Regularity of lex-segment ideals: Some closed formulas and applications: Marc Chardin and Guillermo Moreno-Socías; Proc. Amer. Math. Soc. 131 (2003), 1093-1102; DOI: https://doi.org/10.1090/S0002-9939-02-06647-9; Published electronically: September 5, 2002; PDF

Existence of $C^\{\infty \}$ local solutions of the complex Monge-Ampère equation: Saoussen Kallel-Jallouli; Proc. Amer. Math. Soc. 131 (2003), 1103-1108; DOI: https://doi.org/10.1090/S0002-9939-02-06820-X; Published electronically: October 15, 2002; PDF

A characterization of quasiconvex vector-valued functions: Joël Benoist, Jonathan M. Borwein and Nicolae Popovici; Proc. Amer. Math. Soc. 131 (2003), 1109-1113; DOI: https://doi.org/10.1090/S0002-9939-02-06761-8; Published electronically: November 6, 2002; PDF

A priori estimates for quasilinear degenerate parabolic equations: Maria Manfredini and Andrea Pascucci; Proc. Amer. Math. Soc. 131 (2003), 1115-1120; DOI: https://doi.org/10.1090/S0002-9939-02-06922-8; Published electronically: November 13, 2002; PDF

Borel subrings of the reals: G. A. Edgar and Chris Miller; Proc. Amer. Math. Soc. 131 (2003), 1121-1129; DOI: https://doi.org/10.1090/S0002-9939-02-06653-4; Published electronically: June 12, 2002; PDF

A local geometric characterization of the Bochner-Martinelli kernel: Michael Bolt; Proc. Amer. Math. Soc. 131 (2003), 1131-1136; DOI: https://doi.org/10.1090/S0002-9939-02-06699-6; Published electronically: July 26, 2002; PDF

Subsystems of the Walsh orthogonal system whose multiplicative completions are quasibases for $L^\{p\}[0,1]$, $1\leq p < +\infty$: M. G. Grigorian and Robert E. Zink; Proc. Amer. Math. Soc. 131 (2003), 1137-1149; DOI: https://doi.org/10.1090/S0002-9939-02-06618-2; Published electronically: July 25, 2002; PDF

Hardy’s inequality and the boundary size: Pekka Koskela and Xiao Zhong; Proc. Amer. Math. Soc. 131 (2003), 1151-1158; DOI: https://doi.org/10.1090/S0002-9939-02-06711-4; Published electronically: July 26, 2002; PDF

Capacity estimates: David R. Adams and Ritva Hurri-Syrjänen; Proc. Amer. Math. Soc. 131 (2003), 1159-1167; DOI: https://doi.org/10.1090/S0002-9939-02-06622-4; Published electronically: September 19, 2002; PDF

On the regularized Whittaker-Kotel’nikov-Shannon sampling formula: Liwen Qian; Proc. Amer. Math. Soc. 131 (2003), 1169-1176; DOI: https://doi.org/10.1090/S0002-9939-02-06887-9; Published electronically: October 24, 2002; PDF

The rank of Hankel operators on harmonic Bergman spaces: Lova Zakariasy; Proc. Amer. Math. Soc. 131 (2003), 1177-1180; DOI: https://doi.org/10.1090/S0002-9939-02-06638-8; Published electronically: November 4, 2002; PDF

Strictly singular non-compact operators on hereditarily indecomposable Banach spaces: I. Gasparis; Proc. Amer. Math. Soc. 131 (2003), 1181-1189; DOI: https://doi.org/10.1090/S0002-9939-02-06657-1; Published electronically: July 26, 2002; PDF

Trace splittings in $C^*$-algebras of tiling systems via colourings: A. El Kacimi Alaoui and R. Parthasarathy; Proc. Amer. Math. Soc. 131 (2003), 1191-1204; DOI: https://doi.org/10.1090/S0002-9939-02-06693-5; Published electronically: July 26, 2002; PDF

Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit: Karl Michael Schmidt; Proc. Amer. Math. Soc. 131 (2003), 1205-1214; DOI: https://doi.org/10.1090/S0002-9939-02-06679-0; Published electronically: July 26, 2002; PDF

On the first two eigenvalues of Sturm-Liouville operators: Miklós Horváth; Proc. Amer. Math. Soc. 131 (2003), 1215-1224; DOI: https://doi.org/10.1090/S0002-9939-02-06637-6; Published electronically: July 26, 2002; PDF

A remark on quasi-isometries: N. J. Kalton; Proc. Amer. Math. Soc. 131 (2003), 1225-1231; DOI: https://doi.org/10.1090/S0002-9939-02-06663-7; Published electronically: July 26, 2002; PDF

Univalent mappings and invariant subspaces of the Bergman and Hardy spaces: Brent J. Carswell; Proc. Amer. Math. Soc. 131 (2003), 1233-1241; DOI: https://doi.org/10.1090/S0002-9939-02-06646-7; Published electronically: September 17, 2002; PDF

Ferenc Lukács type theorems in terms of the Abel-Poisson mean of conjugate series: Ferenc Móricz; Proc. Amer. Math. Soc. 131 (2003), 1243-1250; DOI: https://doi.org/10.1090/S0002-9939-02-06669-8; Published electronically: September 5, 2002; PDF

The alternative Dunford-Pettis property in $C^*$-algebras and von Neumann preduals: Leslie J. Bunce and Antonio M. Peralta; Proc. Amer. Math. Soc. 131 (2003), 1251-1255; DOI: https://doi.org/10.1090/S0002-9939-02-06700-X; Published electronically: September 5, 2002; PDF

BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws: Tong Yang, Huijiang Zhao and Changjiang Zhu; Proc. Amer. Math. Soc. 131 (2003), 1257-1266; DOI: https://doi.org/10.1090/S0002-9939-02-06688-1; Published electronically: October 1, 2002; PDF

The Nevanlinna counting functions for Rudin’s orthogonal functions: Takahiko Nakazi; Proc. Amer. Math. Soc. 131 (2003), 1267-1271; DOI: https://doi.org/10.1090/S0002-9939-02-06671-6; Published electronically: September 5, 2002; PDF

Ordered group invariants for nonorientable one-dimensional generalized solenoids: Inhyeop Yi; Proc. Amer. Math. Soc. 131 (2003), 1273-1282; DOI: https://doi.org/10.1090/S0002-9939-02-06794-1; Published electronically: November 20, 2002; PDF

A remark on the maximum principle and stochastic completeness: Stefano Pigola, Marco Rigoli and Alberto G. Setti; Proc. Amer. Math. Soc. 131 (2003), 1283-1288; DOI: https://doi.org/10.1090/S0002-9939-02-06672-8; Published electronically: July 26, 2002; PDF

Reflecting point-countable families: Zoltan T. Balogh; Proc. Amer. Math. Soc. 131 (2003), 1289-1296; DOI: https://doi.org/10.1090/S0002-9939-02-06621-2; Published electronically: July 25, 2002; PDF

Characterizations of paracompactness and Lindelöfness by the separation property: Yukinobu Yajima; Proc. Amer. Math. Soc. 131 (2003), 1297-1302; DOI: https://doi.org/10.1090/S0002-9939-02-06633-9; Published electronically: November 6, 2002; PDF

On the uniform hyperbolicity of some nonuniformly hyperbolic systems: José F. Alves, Vítor Araújo and Benoît Saussol; Proc. Amer. Math. Soc. 131 (2003), 1303-1309; DOI: https://doi.org/10.1090/S0002-9939-02-06857-0; Published electronically: November 20, 2002; PDF

Pseudocompact topological group refinements of maximal weight: W. W. Comfort and Jorge Galindo; Proc. Amer. Math. Soc. 131 (2003), 1311-1320; DOI: https://doi.org/10.1090/S0002-9939-02-06650-9; Published electronically: September 5, 2002; PDF