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 137, Number 3
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On Noetherian affine prime regular Hopf algebras of Gelfand-Kirillov dimension 1: Gongxiang Liu; Proc. Amer. Math. Soc. 137 (2009), 777-785; DOI: https://doi.org/10.1090/S0002-9939-08-09034-5; Published electronically: October 29, 2008; PDF

On the singularity of random matrices with independent entries: Laurent Bruneau and François Germinet; Proc. Amer. Math. Soc. 137 (2009), 787-792; DOI: https://doi.org/10.1090/S0002-9939-08-09595-6; Published electronically: October 22, 2008; PDF

A large family of pseudorandom binary lattices: Huaning Liu; Proc. Amer. Math. Soc. 137 (2009), 793-803; DOI: https://doi.org/10.1090/S0002-9939-08-09706-2; Published electronically: October 29, 2008; PDF

A new proof of Roth’s theorem on arithmetic progressions: Ernie Croot and Olof Sisask; Proc. Amer. Math. Soc. 137 (2009), 805-809; DOI: https://doi.org/10.1090/S0002-9939-08-09594-4; Published electronically: November 4, 2008; PDF

Commensurability and QI classification of free products of finitely generated abelian groups: Jason A. Behrstock, Tadeusz Januszkiewicz and Walter D. Neumann; Proc. Amer. Math. Soc. 137 (2009), 811-813; DOI: https://doi.org/10.1090/S0002-9939-08-09559-2; Published electronically: September 4, 2008; PDF

Representations of the generalized Kronecker quiver with countably many arrows: Nils Mahrt; Proc. Amer. Math. Soc. 137 (2009), 815-824; DOI: https://doi.org/10.1090/S0002-9939-08-09552-X; Published electronically: September 10, 2008; PDF

Arithmetic properties of non-harmonic weak Maass forms: Kathrin Bringmann and David Penniston; Proc. Amer. Math. Soc. 137 (2009), 825-833; DOI: https://doi.org/10.1090/S0002-9939-08-09541-5; Published electronically: September 12, 2008; PDF

SAGBI bases for rings of invariant Laurent polynomials: Alexander Duncan and Zinovy Reichstein; Proc. Amer. Math. Soc. 137 (2009), 835-844; DOI: https://doi.org/10.1090/S0002-9939-08-09538-5; Published electronically: September 15, 2008; PDF

On semilocal rings: Hongbo Zhang; Proc. Amer. Math. Soc. 137 (2009), 845-852; DOI: https://doi.org/10.1090/S0002-9939-08-09577-4; Published electronically: September 17, 2008; PDF

Maps between moduli spaces of vector bundles and the base locus of the theta divisor: Tawanda Gwena and Montserrat Teixidor i Bigas; Proc. Amer. Math. Soc. 137 (2009), 853-861; DOI: https://doi.org/10.1090/S0002-9939-08-09713-X; Published electronically: September 15, 2008; PDF

Projective normality of finite group quotients: S. S. Kannan, S. K. Pattanayak and Pranab Sardar; Proc. Amer. Math. Soc. 137 (2009), 863-867; DOI: https://doi.org/10.1090/S0002-9939-08-09613-5; Published electronically: September 15, 2008; PDF

The action of the heat operator on Jacobi forms: Olav K. Richter; Proc. Amer. Math. Soc. 137 (2009), 869-875; DOI: https://doi.org/10.1090/S0002-9939-08-09566-X; Published electronically: September 15, 2008; PDF

Simple algebras of Gelfand-Kirillov dimension two: Jason P. Bell; Proc. Amer. Math. Soc. 137 (2009), 877-883; DOI: https://doi.org/10.1090/S0002-9939-08-09724-4; Published electronically: October 15, 2008; PDF

Asymptotic valuations of sequences satisfying first order recurrences: Tewodros Amdeberhan, Luis A. Medina and Victor H. Moll; Proc. Amer. Math. Soc. 137 (2009), 885-890; DOI: https://doi.org/10.1090/S0002-9939-08-09580-4; Published electronically: September 24, 2008; PDF

Rational homotopy of the polyhedral product functor: Yves Félix and Daniel Tanré; Proc. Amer. Math. Soc. 137 (2009), 891-898; DOI: https://doi.org/10.1090/S0002-9939-08-09591-9; Published electronically: September 24, 2008; PDF

Minimality of the boundary of a right-angled Coxeter system: Tetsuya Hosaka; Proc. Amer. Math. Soc. 137 (2009), 899-910; DOI: https://doi.org/10.1090/S0002-9939-08-09585-3; Published electronically: September 24, 2008; PDF

Completions of quantum coordinate rings: Linhong Wang; Proc. Amer. Math. Soc. 137 (2009), 911-919; DOI: https://doi.org/10.1090/S0002-9939-08-09620-2; Published electronically: October 16, 2008; PDF

Sums of squares over totally real fields are rational sums of squares: Christopher J. Hillar; Proc. Amer. Math. Soc. 137 (2009), 921-930; DOI: https://doi.org/10.1090/S0002-9939-08-09641-X; Published electronically: September 25, 2008; PDF

A note on evaluations of multiple zeta values: Shuichi Muneta; Proc. Amer. Math. Soc. 137 (2009), 931-935; DOI: https://doi.org/10.1090/S0002-9939-08-09592-0; Published electronically: September 25, 2008; PDF

A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group: Albert Boggess and Andrew Raich; Proc. Amer. Math. Soc. 137 (2009), 937-944; DOI: https://doi.org/10.1090/S0002-9939-08-09725-6; Published electronically: October 10, 2008; PDF

$(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero: Vasile Lauric; Proc. Amer. Math. Soc. 137 (2009), 945-953; DOI: https://doi.org/10.1090/S0002-9939-08-09731-1; Published electronically: October 28, 2008; PDF

$L^p$ estimates for maximal averages along one-variable vector fields in ${\mathbf R} ^2$: Michael Bateman; Proc. Amer. Math. Soc. 137 (2009), 955-963; DOI: https://doi.org/10.1090/S0002-9939-08-09583-X; Published electronically: September 5, 2008; PDF

On spaces of operators on $C(Q)$ spaces ($Q$ countable metric space): Christian Samuel; Proc. Amer. Math. Soc. 137 (2009), 965-970; DOI: https://doi.org/10.1090/S0002-9939-08-09635-4; Published electronically: September 11, 2008; PDF

Fourier spectrum characterization of Hardy spaces and applications: Tao Qian, Yuesheng Xu, Dunyan Yan, Lixin Yan and Bo Yu; Proc. Amer. Math. Soc. 137 (2009), 971-980; DOI: https://doi.org/10.1090/S0002-9939-08-09544-0; Published electronically: September 11, 2008; PDF

Initial value problems in discrete fractional calculus: Ferhan M. Atici and Paul W. Eloe; Proc. Amer. Math. Soc. 137 (2009), 981-989; DOI: https://doi.org/10.1090/S0002-9939-08-09626-3; Published electronically: September 10, 2008; PDF

Inclusions and coincidences for multiple summing multilinear mappings: G. Botelho, H.-A. Braunss, H. Junek and D. Pellegrino; Proc. Amer. Math. Soc. 137 (2009), 991-1000; DOI: https://doi.org/10.1090/S0002-9939-08-09691-3; Published electronically: October 8, 2008; PDF

An extension property for the Figà-Talamanca Herz algebra: Christian Fiorillo; Proc. Amer. Math. Soc. 137 (2009), 1001-1011; DOI: https://doi.org/10.1090/S0002-9939-08-09679-2; Published electronically: October 9, 2008; PDF

The Leray-Schauder condition for continuous pseudo-contractive mappings: Claudio H. Morales; Proc. Amer. Math. Soc. 137 (2009), 1013-1020; DOI: https://doi.org/10.1090/S0002-9939-08-09570-1; Published electronically: September 24, 2008; PDF

Pleijel’s nodal domain theorem for free membranes: Iosif Polterovich; Proc. Amer. Math. Soc. 137 (2009), 1021-1024; DOI: https://doi.org/10.1090/S0002-9939-08-09596-8; Published electronically: September 25, 2008; PDF

Dynamics of tuples of matrices: G. Costakis, D. Hadjiloucas and A. Manoussos; Proc. Amer. Math. Soc. 137 (2009), 1025-1034; DOI: https://doi.org/10.1090/S0002-9939-08-09717-7; Published electronically: October 17, 2008; PDF

On fields of definition of arithmetic Kleinian reflection groups: Mikhail Belolipetsky; Proc. Amer. Math. Soc. 137 (2009), 1035-1038; DOI: https://doi.org/10.1090/S0002-9939-08-09590-7; Published electronically: September 25, 2008; PDF

A trace formula and Schmincke inequality on the half-line: Amin Boumenir and Vu Kim Tuan; Proc. Amer. Math. Soc. 137 (2009), 1039-1049; DOI: https://doi.org/10.1090/S0002-9939-08-09659-7; Published electronically: September 25, 2008; PDF

Winning tactics in a geometrical game: Antonín Procházka; Proc. Amer. Math. Soc. 137 (2009), 1051-1061; DOI: https://doi.org/10.1090/S0002-9939-08-09636-6; Published electronically: September 26, 2008; PDF

A new proof of Mok’s generalized Frankel conjecture theorem: Hui-Ling Gu; Proc. Amer. Math. Soc. 137 (2009), 1063-1068; DOI: https://doi.org/10.1090/S0002-9939-08-09611-1; Published electronically: October 15, 2008; PDF

Curvature invariants, Killing vector fields, connections and cohomogeneity: Sergio Console and Carlos Olmos; Proc. Amer. Math. Soc. 137 (2009), 1069-1072; DOI: https://doi.org/10.1090/S0002-9939-08-09669-X; Published electronically: October 2, 2008; PDF

AHS-structures and affine holonomies: Andreas Čap; Proc. Amer. Math. Soc. 137 (2009), 1073-1080; DOI: https://doi.org/10.1090/S0002-9939-08-09722-0; Published electronically: October 22, 2008; PDF

Uniformly convex functions on Banach spaces: J. Borwein, A. J. Guirao, P. Hájek and J. Vanderwerff; Proc. Amer. Math. Soc. 137 (2009), 1081-1091; DOI: https://doi.org/10.1090/S0002-9939-08-09630-5; Published electronically: October 3, 2008; PDF

Eigenvalue estimates for submanifolds with locally bounded mean curvature in $N \times \mathbb {R}$: G. Pacelli Bessa and M. Silvana Costa; Proc. Amer. Math. Soc. 137 (2009), 1093-1102; DOI: https://doi.org/10.1090/S0002-9939-08-09680-9; Published electronically: October 21, 2008; PDF

Morasses and finite support iterations: Bernhard Irrgang; Proc. Amer. Math. Soc. 137 (2009), 1103-1113; DOI: https://doi.org/10.1090/S0002-9939-08-09525-7; Published electronically: August 28, 2008; PDF

Kenilworth: Tamás Mátrai; Proc. Amer. Math. Soc. 137 (2009), 1115-1125; DOI: https://doi.org/10.1090/S0002-9939-08-09615-9; Published electronically: October 23, 2008; PDF

Abstract elementary classes induced by tilting and cotilting modules have finite character: Jan Trlifaj; Proc. Amer. Math. Soc. 137 (2009), 1127-1133; DOI: https://doi.org/10.1090/S0002-9939-08-09618-4; Published electronically: October 1, 2008; PDF

Quadratic enhancements of surfaces: two vanishing results: Laurence R. Taylor; Proc. Amer. Math. Soc. 137 (2009), 1135-1138; DOI: https://doi.org/10.1090/S0002-9939-08-09728-1; Published electronically: October 22, 2008; PDF

The distortion of a knotted curve: Elizabeth Denne and John M. Sullivan; Proc. Amer. Math. Soc. 137 (2009), 1139-1148; DOI: https://doi.org/10.1090/S0002-9939-08-09705-0; Published electronically: September 29, 2008; PDF

A short proof of nonhomogeneity of the pseudo-circle: Krystyna Kuperberg and Kevin Gammon; Proc. Amer. Math. Soc. 137 (2009), 1149-1152; DOI: https://doi.org/10.1090/S0002-9939-08-09605-6; Published electronically: September 17, 2008; PDF

Accidental parabolics in the mapping class group: Christopher J. Leininger; Proc. Amer. Math. Soc. 137 (2009), 1153-1160; DOI: https://doi.org/10.1090/S0002-9939-08-09604-4; Published electronically: September 29, 2008; PDF

On the same $N$-type conjecture for the suspension of the infinite complex projective space: Dae-Woong Lee; Proc. Amer. Math. Soc. 137 (2009), 1161-1168; DOI: https://doi.org/10.1090/S0002-9939-08-09666-4; Published electronically: October 20, 2008; PDF