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 136, Number 9
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A note on the Jacobian conjecture: Christopher I. Byrnes and Anders Lindquist; Proc. Amer. Math. Soc. 136 (2008), 3007-3011; DOI: https://doi.org/10.1090/S0002-9939-08-09245-9; Published electronically: April 23, 2008; PDF

Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations: Chi-Kwong Li and Nung-Sing Sze; Proc. Amer. Math. Soc. 136 (2008), 3013-3023; DOI: https://doi.org/10.1090/S0002-9939-08-09536-1; Published electronically: April 30, 2008; PDF

The “fundamental theorem” for the algebraic $K$-theory of spaces. III. The nil-term: John R. Klein and E. Bruce Williams; Proc. Amer. Math. Soc. 136 (2008), 3025-3033; DOI: https://doi.org/10.1090/S0002-9939-08-09293-9; Published electronically: April 29, 2008; PDF

An elementary proof of the law of quadratic reciprocity over function fields: Chun-Gang Ji and Yan Xue; Proc. Amer. Math. Soc. 136 (2008), 3035-3039; DOI: https://doi.org/10.1090/S0002-9939-08-09327-1; Published electronically: April 30, 2008; PDF

Hermitian lattices without a basis of minimal vectors: Byeong Moon Kim and Poo-Sung Park; Proc. Amer. Math. Soc. 136 (2008), 3041-3044; DOI: https://doi.org/10.1090/S0002-9939-08-09326-X; Published electronically: April 17, 2008; PDF

A sheaf of Hochschild complexes on quasi-compact opens: Wendy Lowen; Proc. Amer. Math. Soc. 136 (2008), 3045-3050; DOI: https://doi.org/10.1090/S0002-9939-08-09471-9; Published electronically: April 17, 2008; PDF

Hecke operators for weakly holomorphic modular forms and supersingular congruences: P. Guerzhoy; Proc. Amer. Math. Soc. 136 (2008), 3051-3059; DOI: https://doi.org/10.1090/S0002-9939-08-09277-0; Published electronically: April 29, 2008; PDF

On separation of quadratic forms on the imaginary quadratic field in its Hilbert class field: Li-Chien Shen; Proc. Amer. Math. Soc. 136 (2008), 3061-3067; DOI: https://doi.org/10.1090/S0002-9939-08-09287-3; Published electronically: April 29, 2008; PDF

Maximal $n$-orthogonal modules for selfinjective algebras: Karin Erdmann and Thorsten Holm; Proc. Amer. Math. Soc. 136 (2008), 3069-3078; DOI: https://doi.org/10.1090/S0002-9939-08-09297-6; Published electronically: April 29, 2008; PDF

A note on $p$-bases of a regular affine domain extension: Tomoaki Ono; Proc. Amer. Math. Soc. 136 (2008), 3079-3087; DOI: https://doi.org/10.1090/S0002-9939-08-09338-6; Published electronically: April 30, 2008; PDF

On the sign changes of coefficients of general Dirichlet series: Wladimir de Azevedo Pribitkin; Proc. Amer. Math. Soc. 136 (2008), 3089-3094; DOI: https://doi.org/10.1090/S0002-9939-08-09296-4; Published electronically: April 30, 2008; PDF

A generalization of Miller’s primality theorem: Pedro Berrizbeitia and Aurora Olivieri; Proc. Amer. Math. Soc. 136 (2008), 3095-3104; DOI: https://doi.org/10.1090/S0002-9939-08-09303-9; Published electronically: May 7, 2008; PDF

On patterns occurring in binary algebraic numbers: B. Adamczewski and N. Rampersad; Proc. Amer. Math. Soc. 136 (2008), 3105-3109; DOI: https://doi.org/10.1090/S0002-9939-08-09319-2; Published electronically: May 7, 2008; PDF

Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems: A. D. Ioffe; Proc. Amer. Math. Soc. 136 (2008), 3111-3119; DOI: https://doi.org/10.1090/S0002-9939-08-09101-6; Published electronically: May 1, 2008; PDF

On a boundary analogue of the Carathéodory-Schur interpolation problem: Vladimir Bolotnikov; Proc. Amer. Math. Soc. 136 (2008), 3121-3131; DOI: https://doi.org/10.1090/S0002-9939-08-09059-X; Published electronically: April 22, 2008; PDF

A Schwarz lemma for meromorphic functions and estimates for the hyperbolic metric: Alexander Yu. Solynin; Proc. Amer. Math. Soc. 136 (2008), 3133-3143; DOI: https://doi.org/10.1090/S0002-9939-08-09309-X; Published electronically: May 5, 2008; PDF

$L^p$ bounds for oscillatory hyper-Hilbert transform along curves: Jiecheng Chen, Dashan Fan, Meng Wang and Xiangrong Zhu; Proc. Amer. Math. Soc. 136 (2008), 3145-3153; DOI: https://doi.org/10.1090/S0002-9939-08-09325-8; Published electronically: May 2, 2008; PDF

On a problem of Bernard Chevreau concerning the $\rho$-contractions: P. Găvruţa; Proc. Amer. Math. Soc. 136 (2008), 3155-3158; DOI: https://doi.org/10.1090/S0002-9939-08-09463-X; Published electronically: April 29, 2008; PDF

Separation of spectra for block triangles: Robin Harte and Cora Stack; Proc. Amer. Math. Soc. 136 (2008), 3159-3162; DOI: https://doi.org/10.1090/S0002-9939-08-09272-1; Published electronically: March 11, 2008; PDF

Dense-lineability in spaces of continuous functions: L. Bernal-González; Proc. Amer. Math. Soc. 136 (2008), 3163-3169; DOI: https://doi.org/10.1090/S0002-9939-08-09495-1; Published electronically: April 25, 2008; PDF

A note on generating functions for Hausdorff moment sequences: Oliver Roth, Stephan Ruscheweyh and Luis Salinas; Proc. Amer. Math. Soc. 136 (2008), 3171-3176; DOI: https://doi.org/10.1090/S0002-9939-08-09460-4; Published electronically: April 30, 2008; PDF

Generalized inverses and Douglas equations: M. Laura Arias, Gustavo Corach and M. Celeste Gonzalez; Proc. Amer. Math. Soc. 136 (2008), 3177-3183; DOI: https://doi.org/10.1090/S0002-9939-08-09298-8; Published electronically: May 1, 2008; PDF

Self-commutators of automorphic composition operators on the Dirichlet space: A. Abdollahi; Proc. Amer. Math. Soc. 136 (2008), 3185-3193; DOI: https://doi.org/10.1090/S0002-9939-08-09299-X; Published electronically: April 29, 2008; PDF

Trigonometric and Rademacher measures of nowhere finite variation: R. Anantharaman; Proc. Amer. Math. Soc. 136 (2008), 3195-3204; DOI: https://doi.org/10.1090/S0002-9939-08-09279-4; Published electronically: May 2, 2008; PDF

Maps on the $n$-dimensional subspaces of a Hilbert space preserving principal angles: Lajos Molnár; Proc. Amer. Math. Soc. 136 (2008), 3205-3209; DOI: https://doi.org/10.1090/S0002-9939-08-09317-9; Published electronically: April 29, 2008; PDF

The Laplace transform of the digamma function: An integral due to Glasser, Manna and Oloa: Tewodros Amdeberhan, Olivier Espinosa and Victor H. Moll; Proc. Amer. Math. Soc. 136 (2008), 3211-3221; DOI: https://doi.org/10.1090/S0002-9939-08-09300-3; Published electronically: April 30, 2008; PDF

Turán type inequalities for hypergeometric functions: Árpád Baricz; Proc. Amer. Math. Soc. 136 (2008), 3223-3229; DOI: https://doi.org/10.1090/S0002-9939-08-09353-2; Published electronically: April 29, 2008; PDF

The remainder in asymptotic integration: Horst Behncke; Proc. Amer. Math. Soc. 136 (2008), 3231-3238; DOI: https://doi.org/10.1090/S0002-9939-08-09403-3; Published electronically: May 5, 2008; PDF

Near-symmetry in $A_\infty$ and refined Jones factorization: Winston Ou; Proc. Amer. Math. Soc. 136 (2008), 3239-3245; DOI: https://doi.org/10.1090/S0002-9939-08-09459-8; Published electronically: May 6, 2008; PDF

Lie groups locally isomorphic to generalized Heisenberg groups: Hiroshi Tamaru and Hisashi Yoshida; Proc. Amer. Math. Soc. 136 (2008), 3247-3254; DOI: https://doi.org/10.1090/S0002-9939-08-09489-6; Published electronically: April 22, 2008; PDF

Topology of three-manifolds with positive $P$-scalar curvature: Edward M. Fan; Proc. Amer. Math. Soc. 136 (2008), 3255-3261; DOI: https://doi.org/10.1090/S0002-9939-08-09066-7; Published electronically: May 6, 2008; PDF

Almost positive curvature on the Gromoll-Meyer sphere: J.-H. Eschenburg and M. Kerin; Proc. Amer. Math. Soc. 136 (2008), 3263-3270; DOI: https://doi.org/10.1090/S0002-9939-08-09429-X; Published electronically: April 23, 2008; PDF

Equifocality of a singular Riemannian foliation: Marcos M. Alexandrino and Dirk Töben; Proc. Amer. Math. Soc. 136 (2008), 3271-3280; DOI: https://doi.org/10.1090/S0002-9939-08-09407-0; Published electronically: April 23, 2008; PDF

On strict inclusions in hierarchies of convex bodies: Vladyslav Yaskin; Proc. Amer. Math. Soc. 136 (2008), 3281-3291; DOI: https://doi.org/10.1090/S0002-9939-08-09424-0; Published electronically: May 1, 2008; PDF

On the isotropy constant of random convex sets: David Alonso-Gutiérrez; Proc. Amer. Math. Soc. 136 (2008), 3293-3300; DOI: https://doi.org/10.1090/S0002-9939-08-09487-2; Published electronically: April 17, 2008; PDF

$K$-stability on toric manifolds: Bin Zhou and Xiaohua Zhu; Proc. Amer. Math. Soc. 136 (2008), 3301-3307; DOI: https://doi.org/10.1090/S0002-9939-08-09485-9; Published electronically: April 29, 2008; PDF

First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature: Qing-Ming Cheng; Proc. Amer. Math. Soc. 136 (2008), 3309-3318; DOI: https://doi.org/10.1090/S0002-9939-08-09304-0; Published electronically: May 5, 2008; PDF

Products of Borel subgroups: Longyun Ding and Bingqing Li; Proc. Amer. Math. Soc. 136 (2008), 3319-3326; DOI: https://doi.org/10.1090/S0002-9939-08-09334-9; Published electronically: April 29, 2008; PDF

Parameter-free uniformisation: Sy-David Friedman; Proc. Amer. Math. Soc. 136 (2008), 3327-3330; DOI: https://doi.org/10.1090/S0002-9939-08-09275-7; Published electronically: April 29, 2008; PDF

Entropy-cost inequalities for diffusion semigroups with curvature unbounded below: Feng-Yu Wang; Proc. Amer. Math. Soc. 136 (2008), 3331-3338; DOI: https://doi.org/10.1090/S0002-9939-08-09237-X; Published electronically: May 5, 2008; PDF

Robot motion planning, weights of cohomology classes, and cohomology operations: Michael Farber and Mark Grant; Proc. Amer. Math. Soc. 136 (2008), 3339-3349; DOI: https://doi.org/10.1090/S0002-9939-08-09529-4; Published electronically: April 25, 2008; PDF

Concordance crosscap numbers of knots and the Alexander polynomial: Charles Livingston; Proc. Amer. Math. Soc. 136 (2008), 3351-3353; DOI: https://doi.org/10.1090/S0002-9939-08-09481-1; Published electronically: April 25, 2008; PDF

On contact surgery: John B. Etnyre; Proc. Amer. Math. Soc. 136 (2008), 3355-3362; DOI: https://doi.org/10.1090/S0002-9939-08-09278-2; Published electronically: April 30, 2008; PDF

Homogeneous and inhomogeneous manifolds: Paul Gartside, David Gauld and Sina Greenwood; Proc. Amer. Math. Soc. 136 (2008), 3363-3373; DOI: https://doi.org/10.1090/S0002-9939-08-09343-X; Published electronically: May 6, 2008; PDF