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 137, Number 8
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A remark on the Hard Lefschetz Theorem for Kähler orbifolds: Z. Z. Wang and D. Zaffran; Proc. Amer. Math. Soc. 137 (2009), 2497-2501; DOI: https://doi.org/10.1090/S0002-9939-09-09848-7; Published electronically: March 20, 2009; PDF

A variation of multiple $L$-values arising from the spectral zeta function of the non-commutative harmonic oscillator: Kazufumi Kimoto and Yoshinori Yamasaki; Proc. Amer. Math. Soc. 137 (2009), 2503-2515; DOI: https://doi.org/10.1090/S0002-9939-09-09881-5; Published electronically: March 24, 2009; PDF

A multiplication formula for module subcategories of Ext-symmetry: Jie Xiao and Fan Xu; Proc. Amer. Math. Soc. 137 (2009), 2517-2528; DOI: https://doi.org/10.1090/S0002-9939-09-09886-4; Published electronically: March 17, 2009; PDF

Blow-up formulas and smooth birational invariants: Zhaohu Nie; Proc. Amer. Math. Soc. 137 (2009), 2529-2539; DOI: https://doi.org/10.1090/S0002-9939-09-09872-4; Published electronically: March 20, 2009; PDF

The scattering matrix for the Hilbert modular group: Riad Masri; Proc. Amer. Math. Soc. 137 (2009), 2541-2555; DOI: https://doi.org/10.1090/S0002-9939-09-09800-1; Published electronically: January 28, 2009; PDF

The average behavior of Fourier coefficients of cusp forms over sparse sequences: Huixue Lao and Ayyadurai Sankaranarayanan; Proc. Amer. Math. Soc. 137 (2009), 2557-2565; DOI: https://doi.org/10.1090/S0002-9939-09-09855-4; Published electronically: March 12, 2009; PDF

Inequalities between ranks and cranks: Kathrin Bringmann and Karl Mahlburg; Proc. Amer. Math. Soc. 137 (2009), 2567-2574; DOI: https://doi.org/10.1090/S0002-9939-09-09806-2; Published electronically: February 20, 2009; PDF

Freyd’s generating hypothesis with almost split sequences: Jon F. Carlson, Sunil K. Chebolu and Ján Mináč; Proc. Amer. Math. Soc. 137 (2009), 2575-2580; DOI: https://doi.org/10.1090/S0002-9939-09-09826-8; Published electronically: February 6, 2009; PDF

A combinatorial interpretation of the Legendre-Stirling numbers: George E. Andrews and Lance L. Littlejohn; Proc. Amer. Math. Soc. 137 (2009), 2581-2590; DOI: https://doi.org/10.1090/S0002-9939-09-09814-1; Published electronically: February 17, 2009; PDF

Cyclic shifts of the van der Corput set: Dmitriy Bilyk; Proc. Amer. Math. Soc. 137 (2009), 2591-2600; DOI: https://doi.org/10.1090/S0002-9939-09-09854-2; Published electronically: March 3, 2009; PDF

The Erdos-Kac theorem for polynomials of several variables: Maosheng Xiong; Proc. Amer. Math. Soc. 137 (2009), 2601-2608; DOI: https://doi.org/10.1090/S0002-9939-09-09830-X; Published electronically: February 11, 2009; PDF

On sequences $(a_n \xi )_{n \ge 1}$ converging modulo $1$: Yann Bugeaud; Proc. Amer. Math. Soc. 137 (2009), 2609-2612; DOI: https://doi.org/10.1090/S0002-9939-09-09822-0; Published electronically: February 4, 2009; PDF

A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts: Angela Desai; Proc. Amer. Math. Soc. 137 (2009), 2613-2621; DOI: https://doi.org/10.1090/S0002-9939-09-09381-2; Published electronically: March 25, 2009; PDF

Strongly compact normal operators: Miguel Lacruz and Luis Rodríguez-Piazza; Proc. Amer. Math. Soc. 137 (2009), 2623-2630; DOI: https://doi.org/10.1090/S0002-9939-09-09927-4; Published electronically: April 7, 2009; PDF

On the eigenspaces of lamplighter random walks and percolation clusters on graphs: Franz Lehner; Proc. Amer. Math. Soc. 137 (2009), 2631-2637; DOI: https://doi.org/10.1090/S0002-9939-09-09869-4; Published electronically: March 17, 2009; PDF

Another dichotomy for surface diffeomorphisms: C. Morales; Proc. Amer. Math. Soc. 137 (2009), 2639-2644; DOI: https://doi.org/10.1090/S0002-9939-09-09879-7; Published electronically: March 27, 2009; PDF

Continuity of extremal elements in uniformly convex spaces: Timothy Ferguson; Proc. Amer. Math. Soc. 137 (2009), 2645-2653; DOI: https://doi.org/10.1090/S0002-9939-09-09892-X; Published electronically: March 17, 2009; PDF

A note on classification of submodules in $H^{2}(D^{2})$: Rongwei Yang; Proc. Amer. Math. Soc. 137 (2009), 2655-2659; DOI: https://doi.org/10.1090/S0002-9939-09-09893-1; Published electronically: March 30, 2009; PDF

On the $L_p$ norm of the Rademacher projection and related inequalities: Lesław Skrzypek; Proc. Amer. Math. Soc. 137 (2009), 2661-2669; DOI: https://doi.org/10.1090/S0002-9939-09-09875-X; Published electronically: February 25, 2009; PDF

Sur l’existence d’une solution ramifiée pour des équations de Fuchs à caractéristique simple: Patrice Pongérard; Proc. Amer. Math. Soc. 137 (2009), 2671-2683; DOI: https://doi.org/10.1090/S0002-9939-09-09803-7; Published electronically: February 3, 2009; PDF

Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces: Jussi Behrndt; Proc. Amer. Math. Soc. 137 (2009), 2685-2696; DOI: https://doi.org/10.1090/S0002-9939-09-09812-8; Published electronically: February 3, 2009; PDF

Relaxed commutant lifting: Existence of a unique solution: S. ter Horst; Proc. Amer. Math. Soc. 137 (2009), 2697-2707; DOI: https://doi.org/10.1090/S0002-9939-09-09813-X; Published electronically: February 4, 2009; PDF

Hypercyclicity of weighted convolution operators on homogeneous spaces: C. Chen and C-H. Chu; Proc. Amer. Math. Soc. 137 (2009), 2709-2718; DOI: https://doi.org/10.1090/S0002-9939-09-09889-X; Published electronically: March 10, 2009; PDF

Purification and saturation: Peter Loeb and Yeneng Sun; Proc. Amer. Math. Soc. 137 (2009), 2719-2724; DOI: https://doi.org/10.1090/S0002-9939-09-09818-9; Published electronically: February 4, 2009; PDF

Lagrangian Bonnet pairs in $\mathbb CP^2$: Huixia He and Hui Ma; Proc. Amer. Math. Soc. 137 (2009), 2725-2731; DOI: https://doi.org/10.1090/S0002-9939-09-09890-6; Published electronically: March 31, 2009; PDF

The size of isoperimetric surfaces in $3$-manifolds and a rigidity result for the upper hemisphere: Michael Eichmair; Proc. Amer. Math. Soc. 137 (2009), 2733-2740; DOI: https://doi.org/10.1090/S0002-9939-09-09789-5; Published electronically: April 3, 2009; PDF

Twisted homogeneous coordinate rings of abelian surfaces via mirror symmetry: Marco Aldi; Proc. Amer. Math. Soc. 137 (2009), 2741-2747; DOI: https://doi.org/10.1090/S0002-9939-09-09817-7; Published electronically: February 11, 2009; PDF

Miyaoka-Yau inequality for minimal projective manifolds of general type: Yuguang Zhang; Proc. Amer. Math. Soc. 137 (2009), 2749-2754; DOI: https://doi.org/10.1090/S0002-9939-09-09838-4; Published electronically: February 17, 2009; PDF

On the completeness of gradient Ricci solitons: Zhu-Hong Zhang; Proc. Amer. Math. Soc. 137 (2009), 2755-2759; DOI: https://doi.org/10.1090/S0002-9939-09-09866-9; Published electronically: March 18, 2009; PDF

Optimal length estimates for stable CMC surfaces in $3$-space forms: Laurent Mazet; Proc. Amer. Math. Soc. 137 (2009), 2761-2765; DOI: https://doi.org/10.1090/S0002-9939-09-09885-2; Published electronically: March 18, 2009; PDF

Proper products: Otmar Spinas; Proc. Amer. Math. Soc. 137 (2009), 2767-2772; DOI: https://doi.org/10.1090/S0002-9939-09-09846-3; Published electronically: March 5, 2009; PDF

Computational unsolvability of domains of attraction of nonlinear systems: Ning Zhong; Proc. Amer. Math. Soc. 137 (2009), 2773-2783; DOI: https://doi.org/10.1090/S0002-9939-09-09851-7; Published electronically: February 3, 2009; PDF

A spectral theoretic approach to the Kirillov-Duflo correspondence: R. W. Raffoul; Proc. Amer. Math. Soc. 137 (2009), 2785-2794; DOI: https://doi.org/10.1090/S0002-9939-09-09916-X; Published electronically: April 6, 2009; PDF

Note on converse quantum ergodicity: Boris Gutkin; Proc. Amer. Math. Soc. 137 (2009), 2795-2800; DOI: https://doi.org/10.1090/S0002-9939-09-09849-9; Published electronically: March 5, 2009; PDF

Arc distance equals level number: Sangbum Cho, Darryl McCullough and Arim Seo; Proc. Amer. Math. Soc. 137 (2009), 2801-2807; DOI: https://doi.org/10.1090/S0002-9939-09-09874-8; Published electronically: March 18, 2009; PDF

Addendum: Lack of uniformly exponential stabilization for isometric $C_0$-semigroups under compact perturbation of the generators in Banach spaces: Li-Xin Liu and Faming Guo; Proc. Amer. Math. Soc. 137 (2009), 2809-2812; DOI: https://doi.org/10.1090/S0002-9939-09-09657-9; Published electronically: March 16, 2009; PDF

Erratum to: Compactness properties for operators dominated by AM-compact operators: Belmesnaoui Aqzzouz and Aziz Elbour; Proc. Amer. Math. Soc. 137 (2009), 2813-2815; DOI: https://doi.org/10.1090/S0002-9939-09-09856-6; Published electronically: April 2, 2009; PDF