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)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 131, Number 10
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Functorial equations for lexicographic products: Franz-Viktor Kuhlmann, Salma Kuhlmann and Saharon Shelah; Proc. Amer. Math. Soc. 131 (2003), 2969-2976; DOI: https://doi.org/10.1090/S0002-9939-03-06830-8; Published electronically: January 2, 2003; PDF

Local cohomology over homogeneous rings with one-dimensional local base ring: M. Brodmann, S. Fumasoli and R. Tajarod; Proc. Amer. Math. Soc. 131 (2003), 2977-2985; DOI: https://doi.org/10.1090/S0002-9939-03-07009-6; Published electronically: April 21, 2003; PDF

Modular group algebras of $\aleph _{1}$-separable $p$-groups: Rüdiger Göbel and Warren May; Proc. Amer. Math. Soc. 131 (2003), 2987-2992; DOI: https://doi.org/10.1090/S0002-9939-03-06818-7; Published electronically: January 2, 2003; PDF

Hopf algebroids and H-separable extensions: Lars Kadison; Proc. Amer. Math. Soc. 131 (2003), 2993-3002; DOI: https://doi.org/10.1090/S0002-9939-02-06876-4; Published electronically: December 30, 2002; PDF

Local rings of countable Cohen-Macaulay type: Craig Huneke and Graham J. Leuschke; Proc. Amer. Math. Soc. 131 (2003), 3003-3007; DOI: https://doi.org/10.1090/S0002-9939-03-07167-3; Published electronically: May 9, 2003; PDF

Convergence of sequences of sets of associated primes: Rodney Y. Sharp; Proc. Amer. Math. Soc. 131 (2003), 3009-3017; DOI: https://doi.org/10.1090/S0002-9939-03-07038-2; Published electronically: March 11, 2003; PDF

Number of Sylow subgroups in $p$-solvable groups: Gabriel Navarro; Proc. Amer. Math. Soc. 131 (2003), 3019-3020; DOI: https://doi.org/10.1090/S0002-9939-03-06884-9; Published electronically: March 11, 2003; PDF

$F$-split Galois representations are potentially abelian: Chandrashekhar Khare; Proc. Amer. Math. Soc. 131 (2003), 3021-3023; DOI: https://doi.org/10.1090/S0002-9939-03-06954-5; Published electronically: February 20, 2003; PDF

Phelps’ lemma, Danes̆’ drop theorem and Ekeland’s principle in locally convex spaces: Andreas H. Hamel; Proc. Amer. Math. Soc. 131 (2003), 3025-3038; DOI: https://doi.org/10.1090/S0002-9939-03-07066-7; Published electronically: April 30, 2003; PDF

The minimum number of acute dihedral angles of a simplex: Gangsong Leng; Proc. Amer. Math. Soc. 131 (2003), 3039-3042; DOI: https://doi.org/10.1090/S0002-9939-03-06880-1; Published electronically: May 5, 2003; PDF

On the algebra range of an operator on a Hilbert $C^*$-module over compact operators: Rajna Rajić; Proc. Amer. Math. Soc. 131 (2003), 3043-3051; DOI: https://doi.org/10.1090/S0002-9939-03-07130-2; Published electronically: May 5, 2003; PDF

Uniform perfectness of self-affine sets: Feng Xie, Yongcheng Yin and Yeshun Sun; Proc. Amer. Math. Soc. 131 (2003), 3053-3057; DOI: https://doi.org/10.1090/S0002-9939-03-06976-4; Published electronically: April 30, 2003; PDF

Almost periodic sets and subactions in topological dynamics: Ethan Akin and Joseph Auslander; Proc. Amer. Math. Soc. 131 (2003), 3059-3062; DOI: https://doi.org/10.1090/S0002-9939-03-07005-9; Published electronically: March 17, 2003; PDF

Range of the gradient of a smooth bump function in finite dimensions: Ludovic Rifford; Proc. Amer. Math. Soc. 131 (2003), 3063-3066; DOI: https://doi.org/10.1090/S0002-9939-03-07078-3; Published electronically: March 11, 2003; PDF

$C^\{2,\alpha \}$ estimate of a parabolic Monge-Ampère equation on $S^\{n\}$: Dong-Ho Tsai; Proc. Amer. Math. Soc. 131 (2003), 3067-3074; DOI: https://doi.org/10.1090/S0002-9939-03-06848-5; Published electronically: February 6, 2003; PDF

Discrete spectra of $C^{*}$-algebras and complemented submodules in Hilbert $C^{*}$-modules: Masaharu Kusuda; Proc. Amer. Math. Soc. 131 (2003), 3075-3081; DOI: https://doi.org/10.1090/S0002-9939-03-06855-2; Published electronically: February 6, 2003; PDF

A note on the spectrum of an upper triangular operator matrix: Mohamed Barraa and Mohamed Boumazgour; Proc. Amer. Math. Soc. 131 (2003), 3083-3088; DOI: https://doi.org/10.1090/S0002-9939-03-06862-X; Published electronically: January 28, 2003; PDF

Orthonormal wavelets and shift invariant generalized multiresolution analyses: Sharon Schaffer Vestal and Eric Weber; Proc. Amer. Math. Soc. 131 (2003), 3089-3100; DOI: https://doi.org/10.1090/S0002-9939-03-06928-4; Published electronically: January 15, 2003; PDF

Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variations: Ali Taheri; Proc. Amer. Math. Soc. 131 (2003), 3101-3107; DOI: https://doi.org/10.1090/S0002-9939-03-06852-7; Published electronically: January 28, 2003; PDF

$p$–hyponormality is not translation–invariant: Muneo Chō and Jun Ik Lee; Proc. Amer. Math. Soc. 131 (2003), 3109-3111; DOI: https://doi.org/10.1090/S0002-9939-02-06865-X; Published electronically: December 30, 2002; PDF

Ill-posedness for the Zakharov system with generalized nonlinearity: H. A. Biagioni and F. Linares; Proc. Amer. Math. Soc. 131 (2003), 3113-3121; DOI: https://doi.org/10.1090/S0002-9939-03-06898-9; Published electronically: February 6, 2003; PDF

Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions: Christopher Meaney; Proc. Amer. Math. Soc. 131 (2003), 3123-3128; DOI: https://doi.org/10.1090/S0002-9939-02-06853-3; Published electronically: December 30, 2002; PDF

Extremal properties of the derivatives of the Newman polynomials: Tamás Erdélyi; Proc. Amer. Math. Soc. 131 (2003), 3129-3134; DOI: https://doi.org/10.1090/S0002-9939-03-06986-7; Published electronically: February 28, 2003; PDF

An application of the Putnam-Fuglede theorem to normal products of self-adjoint operators: Hichem M. Mortad; Proc. Amer. Math. Soc. 131 (2003), 3135-3141; DOI: https://doi.org/10.1090/S0002-9939-03-06883-7; Published electronically: January 2, 2003; PDF

On von Neumann’s problem in extension theory of nonnegative operators: Yury Arlinskiĭ and Eduard Tsekanovskiĭ; Proc. Amer. Math. Soc. 131 (2003), 3143-3154; DOI: https://doi.org/10.1090/S0002-9939-03-06859-X; Published electronically: February 12, 2003; PDF

An uncertainty principle on homogeneous trees: Francesca Astengo; Proc. Amer. Math. Soc. 131 (2003), 3155-3161; DOI: https://doi.org/10.1090/S0002-9939-03-07048-5; Published electronically: April 1, 2003; PDF

Linear continuous division for exterior and interior products: P. Domański and B. Jakubczyk; Proc. Amer. Math. Soc. 131 (2003), 3163-3175; DOI: https://doi.org/10.1090/S0002-9939-03-07107-7; Published electronically: May 9, 2003; PDF

A nonstandard proof of the Eberlein-Smulian theorem: Stefano Baratella and Siu-Ah Ng; Proc. Amer. Math. Soc. 131 (2003), 3177-3180; DOI: https://doi.org/10.1090/S0002-9939-03-06894-1; Published electronically: January 28, 2003; PDF

Hardy spaces of spaces of homogeneous type: Xuan Thinh Duong and Lixin Yan; Proc. Amer. Math. Soc. 131 (2003), 3181-3189; DOI: https://doi.org/10.1090/S0002-9939-03-06868-0; Published electronically: February 14, 2003; PDF

The self-similar expanding curve for the curvature flow equation: Hua-Huai Chern, Jong-Shenq Guo and Chu-Pin Lo; Proc. Amer. Math. Soc. 131 (2003), 3191-3201; DOI: https://doi.org/10.1090/S0002-9939-03-07055-2; Published electronically: April 30, 2003; PDF

The semigroup generated by a similarity orbit or a unitary orbit of an operator: C. K. Fong and A. R. Sourour; Proc. Amer. Math. Soc. 131 (2003), 3203-3210; DOI: https://doi.org/10.1090/S0002-9939-03-06910-7; Published electronically: May 9, 2003; PDF

Sur les algèbres $S$-régulières et la $S$-décomposabilité des opérateurs de multiplication: A. Daoui, H. Mahzouli and E. H. Zerouali; Proc. Amer. Math. Soc. 131 (2003), 3211-3220; DOI: https://doi.org/10.1090/S0002-9939-03-06904-1; Published electronically: February 6, 2003; PDF

The critical point equation on a three-dimensional compact manifold: Seungsu Hwang; Proc. Amer. Math. Soc. 131 (2003), 3221-3230; DOI: https://doi.org/10.1090/S0002-9939-03-07165-X; Published electronically: May 9, 2003; PDF

Locating subsets of a normed space: Hajime Ishihara and Luminiţa Vîţă; Proc. Amer. Math. Soc. 131 (2003), 3231-3239; DOI: https://doi.org/10.1090/S0002-9939-03-07067-9; Published electronically: March 11, 2003; PDF

Covering for category and trigonometric thin sets: Peter Eliaš; Proc. Amer. Math. Soc. 131 (2003), 3241-3249; DOI: https://doi.org/10.1090/S0002-9939-03-06869-2; Published electronically: February 12, 2003; PDF

Weak compactness of certain sets of measures: Surjit Singh Khurana; Proc. Amer. Math. Soc. 131 (2003), 3251-3255; DOI: https://doi.org/10.1090/S0002-9939-03-06877-1; Published electronically: January 8, 2003; PDF

Pseudocompact Whyburn spaces need not be Fréchet: Jan Pelant, Mihail G. Tkachenko, Vladimir V. Tkachuk and Richard G. Wilson; Proc. Amer. Math. Soc. 131 (2003), 3257-3265; DOI: https://doi.org/10.1090/S0002-9939-02-06840-5; Published electronically: December 30, 2002; PDF

Mean value extension theorems and microlocal analysis: Eric Todd Quinto; Proc. Amer. Math. Soc. 131 (2003), 3267-3274; DOI: https://doi.org/10.1090/S0002-9939-03-06926-0; Published electronically: February 12, 2003; PDF

Poincaré duality in P.A. Smith theory: Christopher Allday, Bernhard Hanke and Volker Puppe; Proc. Amer. Math. Soc. 131 (2003), 3275-3283; DOI: https://doi.org/10.1090/S0002-9939-03-06856-4; Published electronically: February 6, 2003; PDF

Higher dimensional aposyndetic decompositions: James T. Rogers Jr.; Proc. Amer. Math. Soc. 131 (2003), 3285-3288; DOI: https://doi.org/10.1090/S0002-9939-03-06888-6; Published electronically: February 14, 2003; PDF

Characterization of the mod 3 cohomology of $E_7$: Akira Kono, James P. Lin and Osamu Nishimura; Proc. Amer. Math. Soc. 131 (2003), 3289-3295; DOI: https://doi.org/10.1090/S0002-9939-03-07024-2; Published electronically: April 1, 2003; PDF

The Langlands classification for non-connected $p$-adic groups II: Multiplicity one: Dubravka Ban and Chris Jantzen; Proc. Amer. Math. Soc. 131 (2003), 3297-3304; DOI: https://doi.org/10.1090/S0002-9939-03-07145-4; Published electronically: May 12, 2003; PDF