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 132, Number 11
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Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$: Dongho Byeon; Proc. Amer. Math. Soc. 132 (2004), 3137-3140; DOI: https://doi.org/10.1090/S0002-9939-04-07536-7; Published electronically: June 21, 2004; PDF

A multilinear generalisation of the Cauchy-Schwarz inequality: Anthony Carbery; Proc. Amer. Math. Soc. 132 (2004), 3141-3152; DOI: https://doi.org/10.1090/S0002-9939-04-07565-3; Published electronically: June 16, 2004; PDF

Double covering of curves: Edoardo Ballico, Changho Keem and Seungsuk Park; Proc. Amer. Math. Soc. 132 (2004), 3153-3158; DOI: https://doi.org/10.1090/S0002-9939-04-07426-X; Published electronically: May 12, 2004; PDF

On fibers of the toric resolution of the extended Prym map: Vitaly Vologodsky; Proc. Amer. Math. Soc. 132 (2004), 3159-3165; DOI: https://doi.org/10.1090/S0002-9939-04-07464-7; Published electronically: June 2, 2004; PDF

Quasi-homomorphisms and stable lengths in mapping class groups: D. Kotschick; Proc. Amer. Math. Soc. 132 (2004), 3167-3175; DOI: https://doi.org/10.1090/S0002-9939-04-07508-2; Published electronically: May 12, 2004; PDF

Characterizing Cohen-Macaulay local rings by Frobenius maps: Ryo Takahashi and Yuji Yoshino; Proc. Amer. Math. Soc. 132 (2004), 3177-3187; DOI: https://doi.org/10.1090/S0002-9939-04-07525-2; Published electronically: May 12, 2004; PDF

$\boldsymbol {m}$-adic $p$-basis and regular local ring: Mamoru Furuya and Hiroshi Niitsuma; Proc. Amer. Math. Soc. 132 (2004), 3189-3193; DOI: https://doi.org/10.1090/S0002-9939-04-07503-3; Published electronically: May 21, 2004; PDF

Two estimates for curves in the plane: Daniel M. Oberlin; Proc. Amer. Math. Soc. 132 (2004), 3195-3201; DOI: https://doi.org/10.1090/S0002-9939-04-07610-5; Published electronically: June 16, 2004; PDF

$W^{2,\infty }$ regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension: Espen Robstad Jakobsen; Proc. Amer. Math. Soc. 132 (2004), 3203-3213; DOI: https://doi.org/10.1090/S0002-9939-04-07577-X; Published electronically: June 16, 2004; PDF

Simple corona $C^*$-algebras: Huaxin Lin; Proc. Amer. Math. Soc. 132 (2004), 3215-3224; DOI: https://doi.org/10.1090/S0002-9939-04-07607-5; Published electronically: June 16, 2004; PDF

Exact local behavior of positive solutions for a semilinear elliptic equation with Hardy term: Jianqing Chen; Proc. Amer. Math. Soc. 132 (2004), 3225-3229; DOI: https://doi.org/10.1090/S0002-9939-04-07567-7; Published electronically: June 21, 2004; PDF

A proof of W. T. Gowers’ $c_0$ theorem: Vassilis Kanellopoulos; Proc. Amer. Math. Soc. 132 (2004), 3231-3242; DOI: https://doi.org/10.1090/S0002-9939-04-07320-4; Published electronically: June 16, 2004; PDF

Möbius function of coordinate hyperplanes in complex ellipsoids: Witold Jarnicki; Proc. Amer. Math. Soc. 132 (2004), 3243-3250; DOI: https://doi.org/10.1090/S0002-9939-04-07546-X; Published electronically: June 17, 2004; PDF

Mappings of finite distortion: Removable singularities for locally homeomorphic mappings: Kai Rajala; Proc. Amer. Math. Soc. 132 (2004), 3251-3258; DOI: https://doi.org/10.1090/S0002-9939-04-07459-3; Published electronically: May 12, 2004; PDF

Boundary regularity in the Dirichlet problem for the invariant Laplacians $\Delta _\gamma$ on the unit real ball: Congwen Liu and Lizhong Peng; Proc. Amer. Math. Soc. 132 (2004), 3259-3268; DOI: https://doi.org/10.1090/S0002-9939-04-07582-3; Published electronically: June 17, 2004; PDF

On perturbations of the group of shifts on the line by unitary cocycles: G. G. Amosov and A. D. Baranov; Proc. Amer. Math. Soc. 132 (2004), 3269-3273; DOI: https://doi.org/10.1090/S0002-9939-04-07423-4; Published electronically: June 2, 2004; PDF

Nests with the partial factorization property: Guoxing Ji and Xiuhong Sun; Proc. Amer. Math. Soc. 132 (2004), 3275-3281; DOI: https://doi.org/10.1090/S0002-9939-04-07446-5; Published electronically: June 17, 2004; PDF

An extremal problem of quasiconformal mappings: Zhong Li, Shengjian Wu and Zemin Zhou; Proc. Amer. Math. Soc. 132 (2004), 3283-3288; DOI: https://doi.org/10.1090/S0002-9939-04-07485-4; Published electronically: April 21, 2004; PDF

Almost automorphic solutions of evolution equations: Toka Diagana, Gaston Nguerekata and Nguyen Van Minh; Proc. Amer. Math. Soc. 132 (2004), 3289-3298; DOI: https://doi.org/10.1090/S0002-9939-04-07571-9; Published electronically: June 18, 2004; PDF

A counterexample to a lower bound for a class of pseudodifferential operators: Marco Mughetti and Fabio Nicola; Proc. Amer. Math. Soc. 132 (2004), 3299-3303; DOI: https://doi.org/10.1090/S0002-9939-04-07486-6; Published electronically: June 2, 2004; PDF

The identity is isolated among composition operators: C-H. Chu, R. V. Hügli and M. Mackey; Proc. Amer. Math. Soc. 132 (2004), 3305-3308; DOI: https://doi.org/10.1090/S0002-9939-04-07474-X; Published electronically: May 21, 2004; PDF

Hyperbolic derivatives and generalized Schwarz-Pick estimates: Pratibha Ghatage and Dechao Zheng; Proc. Amer. Math. Soc. 132 (2004), 3309-3318; DOI: https://doi.org/10.1090/S0002-9939-04-07479-9; Published electronically: May 12, 2004; PDF

Vector measure duality and tensor product representations of $L_p$-spaces of vector measures: E. A. Sánchez Pérez; Proc. Amer. Math. Soc. 132 (2004), 3319-3326; DOI: https://doi.org/10.1090/S0002-9939-04-07521-5; Published electronically: June 2, 2004; PDF

Submanifolds associated with graphs: Alfonso Carriazo and Luis M. Fernández; Proc. Amer. Math. Soc. 132 (2004), 3327-3336; DOI: https://doi.org/10.1090/S0002-9939-04-07473-8; Published electronically: June 22, 2004; PDF

The first Dirac eigenvalues on manifolds with positive scalar curvature: Christian Bär and Mattias Dahl; Proc. Amer. Math. Soc. 132 (2004), 3337-3344; DOI: https://doi.org/10.1090/S0002-9939-04-07427-1; Published electronically: May 21, 2004; PDF

Descriptive properties of the set of exposed points of compact convex sets in $\mathbb {R}^3$: Petr Holický and Miklós Laczkovich; Proc. Amer. Math. Soc. 132 (2004), 3345-3347; DOI: https://doi.org/10.1090/S0002-9939-04-07445-3; Published electronically: April 21, 2004; PDF

Metrics of positive curvature with conic singularities on the sphere: A. Eremenko; Proc. Amer. Math. Soc. 132 (2004), 3349-3355; DOI: https://doi.org/10.1090/S0002-9939-04-07439-8; Published electronically: April 21, 2004; PDF

On two problems of Erdos and Hechler: New methods in singular madness: Menachem Kojman, Wiesław Kubiś and Saharon Shelah; Proc. Amer. Math. Soc. 132 (2004), 3357-3365; DOI: https://doi.org/10.1090/S0002-9939-04-07580-X; Published electronically: June 21, 2004; PDF

Covering $\mathbb R^{n+1}$ by graphs of $n$-ary functions and long linear orderings of Turing degrees: Uri Abraham and Stefan Geschke; Proc. Amer. Math. Soc. 132 (2004), 3367-3377; DOI: https://doi.org/10.1090/S0002-9939-04-07422-2; Published electronically: June 18, 2004; PDF

Uncountable intersections of open sets under CPA$_{\mathrm {prism}}$: Krzysztof Ciesielski and Janusz Pawlikowski; Proc. Amer. Math. Soc. 132 (2004), 3379-3385; DOI: https://doi.org/10.1090/S0002-9939-04-07475-1; Published electronically: June 2, 2004; PDF

Precise asymptotics for a series of T. L. Lai: Aurel Spătaru; Proc. Amer. Math. Soc. 132 (2004), 3387-3395; DOI: https://doi.org/10.1090/S0002-9939-04-07524-0; Published electronically: June 21, 2004; PDF

Cellular generators: Wojciech Chachólski, Paul-Eugene Parent and Donald Stanley; Proc. Amer. Math. Soc. 132 (2004), 3397-3409; DOI: https://doi.org/10.1090/S0002-9939-04-07346-0; Published electronically: June 16, 2004; PDF

Cycle decompositions and train tracks: Charles A. Matthews and David J. Wright; Proc. Amer. Math. Soc. 132 (2004), 3411-3415; DOI: https://doi.org/10.1090/S0002-9939-04-07515-X; Published electronically: June 16, 2004; PDF

Thin position and essential planar surfaces: Ying-Qing Wu; Proc. Amer. Math. Soc. 132 (2004), 3417-3421; DOI: https://doi.org/10.1090/S0002-9939-04-07416-7; Published electronically: June 17, 2004; PDF

Mayberry-Murasugi’s formula for links in homology 3-spheres: Joan Porti; Proc. Amer. Math. Soc. 132 (2004), 3423-3431; DOI: https://doi.org/10.1090/S0002-9939-04-07458-1; Published electronically: May 20, 2004; PDF

Hereditary D-property of function spaces over compacta: Raushan Z. Buzyakova; Proc. Amer. Math. Soc. 132 (2004), 3433-3439; DOI: https://doi.org/10.1090/S0002-9939-04-07472-6; Published electronically: May 20, 2004; PDF

Dense subsets of the boundary of a Coxeter system: Tetsuya Hosaka; Proc. Amer. Math. Soc. 132 (2004), 3441-3448; DOI: https://doi.org/10.1090/S0002-9939-04-07480-5; Published electronically: May 12, 2004; PDF

A criterion for satellite 1-genus 1-bridge knots: Hiroshi Goda, Chuichiro Hayashi and Hyun-Jong Song; Proc. Amer. Math. Soc. 132 (2004), 3449-3456; DOI: https://doi.org/10.1090/S0002-9939-04-07505-7; Published electronically: April 9, 2004; PDF