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 127, Number 9
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Some corollaries of Frobenius’ normal $p$-complement theorem: Yakov Berkovich; Proc. Amer. Math. Soc. 127 (1999), 2505-2509; DOI: https://doi.org/10.1090/S0002-9939-99-05275-2; Published electronically: April 28, 1999; PDF

Semilinear transformations: Shreeram S. Abhyankar; Proc. Amer. Math. Soc. 127 (1999), 2511-2525; DOI: https://doi.org/10.1090/S0002-9939-99-05400-3; Published electronically: May 4, 1999; PDF

Ample divisors on the blow up of $\mathbf {P}^n$ at points: E. Ballico; Proc. Amer. Math. Soc. 127 (1999), 2527-2528; DOI: https://doi.org/10.1090/S0002-9939-99-05401-5; Published electronically: April 28, 1999; PDF

On the semisimplicity of pure sheaves: Lei Fu; Proc. Amer. Math. Soc. 127 (1999), 2529-2533; DOI: https://doi.org/10.1090/S0002-9939-99-05414-3; Published electronically: May 19, 1999; PDF

Uniform bounds for stably integral points on elliptic curves: Patricia L. Pacelli; Proc. Amer. Math. Soc. 127 (1999), 2535-2546; DOI: https://doi.org/10.1090/S0002-9939-99-05429-5; Published electronically: May 19, 1999; PDF

Poncelet’s theorem in space: Emma Previato; Proc. Amer. Math. Soc. 127 (1999), 2547-2556; DOI: https://doi.org/10.1090/S0002-9939-99-05307-1; Published electronically: May 4, 1999; PDF

A lower bound for the number of components of the moduli schemes of stable rank 2 vector bundles on projective 3-folds: E. Ballico and R. M. Miró-Roig; Proc. Amer. Math. Soc. 127 (1999), 2557-2560; DOI: https://doi.org/10.1090/S0002-9939-99-05402-7; Published electronically: May 4, 1999; PDF

Generalized Dedekind symbols associated with the Eisenstein series: Shinji Fukuhara; Proc. Amer. Math. Soc. 127 (1999), 2561-2568; DOI: https://doi.org/10.1090/S0002-9939-99-05291-0; Published electronically: May 4, 1999; PDF

On free subgroups of units of rings: A. Salwa; Proc. Amer. Math. Soc. 127 (1999), 2569-2572; DOI: https://doi.org/10.1090/S0002-9939-99-05309-5; Published electronically: May 17, 1999; PDF

Topological density of ccc Boolean algebras–Every cardinality occurs: Mariusz Rabus and Saharon Shelah; Proc. Amer. Math. Soc. 127 (1999), 2573-2581; DOI: https://doi.org/10.1090/S0002-9939-99-04813-3; Published electronically: May 19, 1999; PDF

On groups with commutators of bounded order: Pavel Shumyatsky; Proc. Amer. Math. Soc. 127 (1999), 2583-2586; DOI: https://doi.org/10.1090/S0002-9939-99-04982-5; Published electronically: April 9, 1999; PDF

Sur les $p$-corps: M. N’Kanza; Proc. Amer. Math. Soc. 127 (1999), 2587-2590; DOI: https://doi.org/10.1090/S0002-9939-99-04508-6; Published electronically: April 9, 1999; PDF

Identities of incomplete Kloosterman sums: Ye Yangbo; Proc. Amer. Math. Soc. 127 (1999), 2591-2600; DOI: https://doi.org/10.1090/S0002-9939-99-05037-6; Published electronically: April 9, 1999; PDF

On the existence of maximal Cohen-Macaulay modules over $p$th root extensions: Daniel Katz; Proc. Amer. Math. Soc. 127 (1999), 2601-2609; DOI: https://doi.org/10.1090/S0002-9939-99-04880-7; Published electronically: April 15, 1999; PDF

On the nonrationality of rigid Lie algebras: J. M. Ancochea Bermudez and M. Goze; Proc. Amer. Math. Soc. 127 (1999), 2611-2618; DOI: https://doi.org/10.1090/S0002-9939-99-04824-8; Published electronically: April 23, 1999; PDF

Serre’s condition $R_k$ for associated graded rings: Mark Johnson and Bernd Ulrich; Proc. Amer. Math. Soc. 127 (1999), 2619-2624; DOI: https://doi.org/10.1090/S0002-9939-99-04841-8; Published electronically: April 23, 1999; PDF

Expanding a band: Gordon MacDonald; Proc. Amer. Math. Soc. 127 (1999), 2625-2632; DOI: https://doi.org/10.1090/S0002-9939-99-04932-1; Published electronically: April 23, 1999; PDF

Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes: F. Campana and B. Kreußler; Proc. Amer. Math. Soc. 127 (1999), 2633-2642; DOI: https://doi.org/10.1090/S0002-9939-99-05406-4; Published electronically: May 19, 1999; PDF

Weighted inequalities for iterated convolutions: Kenneth F. Andersen; Proc. Amer. Math. Soc. 127 (1999), 2643-2651; DOI: https://doi.org/10.1090/S0002-9939-99-05271-5; Published electronically: May 4, 1999; PDF

Euler characteristic of the Milnor fibre of plane singularities: A. Melle-Hernández; Proc. Amer. Math. Soc. 127 (1999), 2653-2655; DOI: https://doi.org/10.1090/S0002-9939-99-05423-4; Published electronically: May 19, 1999; PDF

Weighted Caccioppoli-type estimates and weak reverse Hölder inequalities for $A$-harmonic tensors: Shusen Ding; Proc. Amer. Math. Soc. 127 (1999), 2657-2664; DOI: https://doi.org/10.1090/S0002-9939-99-05285-5; Published electronically: April 23, 1999; PDF

On a question in the theory of almost periodic differential equations: Zuo Sheng Hu and Angelo B. Mingarelli; Proc. Amer. Math. Soc. 127 (1999), 2665-2670; DOI: https://doi.org/10.1090/S0002-9939-99-04738-3; Published electronically: April 23, 1999; PDF

Opial’s modulus and fixed points of semigroups of mappings: Tadeusz Kuczumow; Proc. Amer. Math. Soc. 127 (1999), 2671-2678; DOI: https://doi.org/10.1090/S0002-9939-99-04805-4; Published electronically: March 16, 1999; PDF

On the product of two generalized derivations: Mohamed Barraa and Steen Pedersen; Proc. Amer. Math. Soc. 127 (1999), 2679-2683; DOI: https://doi.org/10.1090/S0002-9939-99-04899-6; Published electronically: April 15, 1999; PDF

Tensor products of subnormal operators: Nathan S. Feldman; Proc. Amer. Math. Soc. 127 (1999), 2685-2695; DOI: https://doi.org/10.1090/S0002-9939-99-05054-6; Published electronically: April 9, 1999; PDF

Polynomially convex hulls of graphs on the sphere: Toshiya Jimbo and Akira Sakai; Proc. Amer. Math. Soc. 127 (1999), 2697-2702; DOI: https://doi.org/10.1090/S0002-9939-99-04922-9; Published electronically: April 15, 1999; PDF

Relative modular theory for a weight: Hideaki Izumi; Proc. Amer. Math. Soc. 127 (1999), 2703-2713; DOI: https://doi.org/10.1090/S0002-9939-99-04840-6; Published electronically: April 15, 1999; PDF

Compactness of composition operators on BMOA: Wayne Smith; Proc. Amer. Math. Soc. 127 (1999), 2715-2725; DOI: https://doi.org/10.1090/S0002-9939-99-04856-X; Published electronically: April 15, 1999; PDF

The groups of quasiconformal homeomorphisms on Riemann surfaces: Tatsuhiko Yagasaki; Proc. Amer. Math. Soc. 127 (1999), 2727-2734; DOI: https://doi.org/10.1090/S0002-9939-99-04861-3; Published electronically: April 15, 1999; PDF

Fundamental theorem of geometry without the 1-to-1 assumption: Alexander Chubarev and Iosif Pinelis; Proc. Amer. Math. Soc. 127 (1999), 2735-2744; DOI: https://doi.org/10.1090/S0002-9939-99-05280-6; Published electronically: April 23, 1999; PDF

Hardy’s inequality for $W^{1,p}_0$-functions on Riemannian manifolds: Vladimir M. Miklyukov and Matti K. Vuorinen; Proc. Amer. Math. Soc. 127 (1999), 2745-2754; DOI: https://doi.org/10.1090/S0002-9939-99-04849-2; Published electronically: April 23, 1999; PDF

A class of 3-dimensional manifolds with bounded first eigenvalue on 1-forms: Giovanni Gentile; Proc. Amer. Math. Soc. 127 (1999), 2755-2758; DOI: https://doi.org/10.1090/S0002-9939-99-04916-3; Published electronically: April 23, 1999; PDF

One-to-one Borel selection theorems: Marek Balcerzak and Joanna Peredko; Proc. Amer. Math. Soc. 127 (1999), 2759-2766; DOI: https://doi.org/10.1090/S0002-9939-99-04784-X; Published electronically: April 23, 1999; PDF

Variational principles for average exit time moments for diffusions in Euclidean space: Kimberly K. J. Kinateder and Patrick McDonald; Proc. Amer. Math. Soc. 127 (1999), 2767-2772; DOI: https://doi.org/10.1090/S0002-9939-99-04843-1; Published electronically: April 15, 1999; PDF

Extinguishing the distinguished logarithm problems: Mark Finkelstein, Howard G. Tucker and Jerry Alan Veeh; Proc. Amer. Math. Soc. 127 (1999), 2773-2777; DOI: https://doi.org/10.1090/S0002-9939-99-04836-4; Published electronically: April 23, 1999; PDF

A composition formula in the rank two free group: Francisco González-Acuña and Arturo Ramírez; Proc. Amer. Math. Soc. 127 (1999), 2779-2782; DOI: https://doi.org/10.1090/S0002-9939-99-05344-7; Published electronically: May 4, 1999; PDF

A non-metrizable compact linearly ordered topological space, every subspace of which has a $\sigma$-minimal base: Wei-Xue Shi; Proc. Amer. Math. Soc. 127 (1999), 2783-2791; DOI: https://doi.org/10.1090/S0002-9939-99-04853-4; Published electronically: April 15, 1999; PDF

On the dimension of almost $n$-dimensional spaces: M. Levin and E. D. Tymchatyn; Proc. Amer. Math. Soc. 127 (1999), 2793-2795; DOI: https://doi.org/10.1090/S0002-9939-99-04846-7; Published electronically: April 15, 1999; PDF

Cut-point spaces: B. Honari and Y. Bahrampour; Proc. Amer. Math. Soc. 127 (1999), 2797-2803; DOI: https://doi.org/10.1090/S0002-9939-99-04839-X; Published electronically: April 15, 1999; PDF

A separable space with no Schauder decomposition: G. Allexandrov, Denka Kutzarova and A. Plichko; Proc. Amer. Math. Soc. 127 (1999), 2805-2806; DOI: https://doi.org/10.1090/S0002-9939-99-05370-8; Published electronically: May 20, 1999; PDF

A geometric proof of a theorem about non-dual renormings: Libor Veselý; Proc. Amer. Math. Soc. 127 (1999), 2807-2809; DOI: https://doi.org/10.1090/S0002-9939-99-05395-2; Published electronically: May 19, 1999; PDF