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 130, Number 6
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Octonion algebras obtained from associative algebras with involution: Holger P. Petersson and Michel L. Racine; Proc. Amer. Math. Soc. 130 (2002), 1563-1572; DOI: https://doi.org/10.1090/S0002-9939-01-06241-4; Published electronically: October 24, 2001; PDF

The homogeneous spectrum of a graded commutative ring: William Heinzer and Moshe Roitman; Proc. Amer. Math. Soc. 130 (2002), 1573-1580; DOI: https://doi.org/10.1090/S0002-9939-01-06231-1; Published electronically: October 24, 2001; PDF

Specker’s theorem for Nöbeling’s group: Andreas Blass; Proc. Amer. Math. Soc. 130 (2002), 1581-1587; DOI: https://doi.org/10.1090/S0002-9939-01-06222-0; Published electronically: October 23, 2001; PDF

On the irreducibility of the iterates of $x^{n}-b$: Lynda Danielson and Burton Fein; Proc. Amer. Math. Soc. 130 (2002), 1589-1596; DOI: https://doi.org/10.1090/S0002-9939-01-06258-X; Published electronically: October 17, 2001; PDF

Hindman spaces: Menachem Kojman; Proc. Amer. Math. Soc. 130 (2002), 1597-1602; DOI: https://doi.org/10.1090/S0002-9939-01-06238-4; Published electronically: December 20, 2001; PDF

Explicit continued fractions with expected partial quotient growth: Takeshi Okano; Proc. Amer. Math. Soc. 130 (2002), 1603-1605; DOI: https://doi.org/10.1090/S0002-9939-02-06337-2; Published electronically: January 21, 2002; PDF

Division algebras over $C_{2}$- and $C_{3}$-fields: Louis H. Rowen; Proc. Amer. Math. Soc. 130 (2002), 1607-1610; DOI: https://doi.org/10.1090/S0002-9939-01-06277-3; Published electronically: December 27, 2001; PDF

Direct sums of local torsion-free abelian groups: David M. Arnold; Proc. Amer. Math. Soc. 130 (2002), 1611-1617; DOI: https://doi.org/10.1090/S0002-9939-01-06246-3; Published electronically: November 15, 2001; PDF

A theorem on the $k$-adic representation of positive integers: Yuguang Fang; Proc. Amer. Math. Soc. 130 (2002), 1619-1622; DOI: https://doi.org/10.1090/S0002-9939-01-06303-1; Published electronically: November 15, 2001; PDF

Signed sums of polynomial values: Hong Bing Yu; Proc. Amer. Math. Soc. 130 (2002), 1623-1627; DOI: https://doi.org/10.1090/S0002-9939-01-06461-9; Published electronically: November 15, 2001; PDF

Primary decomposition: Compatibility, independence and linear growth: Yongwei Yao; Proc. Amer. Math. Soc. 130 (2002), 1629-1637; DOI: https://doi.org/10.1090/S0002-9939-01-06284-0; Published electronically: November 15, 2001; PDF

LCM-splitting sets in some ring extensions: Tiberiu Dumitrescu and Muhammad Zafrullah; Proc. Amer. Math. Soc. 130 (2002), 1639-1644; DOI: https://doi.org/10.1090/S0002-9939-01-06301-8; Published electronically: November 15, 2001; PDF

On the dual of Orlicz–Lorentz space: H. Hudzik, A. Kamińska and M. Mastyło; Proc. Amer. Math. Soc. 130 (2002), 1645-1654; DOI: https://doi.org/10.1090/S0002-9939-02-05997-X; Published electronically: January 25, 2002; PDF

A remark on Calderón-Zygmund classes and Sobolev spaces: David Swanson; Proc. Amer. Math. Soc. 130 (2002), 1655-1659; DOI: https://doi.org/10.1090/S0002-9939-02-06458-4; Published electronically: January 28, 2002; PDF

Subspaces with normalized tight frame wavelets in $\mathbb {R}$: Xingde Dai, Yuanan Diao and Qing Gu; Proc. Amer. Math. Soc. 130 (2002), 1661-1667; DOI: https://doi.org/10.1090/S0002-9939-01-06257-8; Published electronically: October 23, 2001; PDF

A note on the distance set problem in the plane: Themis Mitsis; Proc. Amer. Math. Soc. 130 (2002), 1669-1672; DOI: https://doi.org/10.1090/S0002-9939-01-06375-4; Published electronically: October 12, 2001; PDF

Asymptotics for the heat equation in the exterior of a shrinking compact set in the plane via Brownian hitting times: Ross G. Pinsky; Proc. Amer. Math. Soc. 130 (2002), 1673-1679; DOI: https://doi.org/10.1090/S0002-9939-01-06206-2; Published electronically: October 5, 2001; PDF

Removable sets for continuous solutions of quasilinear elliptic equations: Tero Kilpeläinen and Xiao Zhong; Proc. Amer. Math. Soc. 130 (2002), 1681-1688; DOI: https://doi.org/10.1090/S0002-9939-01-06237-2; Published electronically: October 24, 2001; PDF

On one problem of uniqueness of meromorphic functions concerning small functions: Hong-Xun Yi; Proc. Amer. Math. Soc. 130 (2002), 1689-1697; DOI: https://doi.org/10.1090/S0002-9939-01-06245-1; Published electronically: October 17, 2001; PDF

Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator: Reinhard Mennicken, Serguei Naboko and Christiane Tretter; Proc. Amer. Math. Soc. 130 (2002), 1699-1710; DOI: https://doi.org/10.1090/S0002-9939-01-06239-6; Published electronically: December 20, 2001; PDF

A uniqueness result for harmonic functions: Richard F. Bass; Proc. Amer. Math. Soc. 130 (2002), 1711-1716; DOI: https://doi.org/10.1090/S0002-9939-01-06221-9; Published electronically: October 24, 2001; PDF

Index of B-Fredholm operators and generalization of a Weyl theorem: M. Berkani; Proc. Amer. Math. Soc. 130 (2002), 1717-1723; DOI: https://doi.org/10.1090/S0002-9939-01-06291-8; Published electronically: October 17, 2001; PDF

Convolution operators and zeros of entire functions: David A. Cardon; Proc. Amer. Math. Soc. 130 (2002), 1725-1734; DOI: https://doi.org/10.1090/S0002-9939-01-06351-1; Published electronically: October 17, 2001; PDF

An automatic adjoint theorem and its applications: Junde Wu and Shijie Lu; Proc. Amer. Math. Soc. 130 (2002), 1735-1741; DOI: https://doi.org/10.1090/S0002-9939-01-06285-2; Published electronically: December 20, 2001; PDF

Equivalence of domains with isomorphic semigroups of endomorphisms: Sergei Merenkov; Proc. Amer. Math. Soc. 130 (2002), 1743-1753; DOI: https://doi.org/10.1090/S0002-9939-01-06409-7; Published electronically: November 9, 2001; PDF

On the distribution singular values of Toeplitz matrices: Milutin R. Dostanić; Proc. Amer. Math. Soc. 130 (2002), 1755-1764; DOI: https://doi.org/10.1090/S0002-9939-01-06259-1; Published electronically: October 24, 2001; PDF

Isolated points and essential components of composition operators on $H^\infty$: Takuya Hosokawa, Keiji Izuchi and Dechao Zheng; Proc. Amer. Math. Soc. 130 (2002), 1765-1773; DOI: https://doi.org/10.1090/S0002-9939-01-06233-5; Published electronically: October 24, 2001; PDF

Analytic extension of differentiable functions defined in closed sets by means of continuous linear operators: Leonhard Frerick and Dietmar Vogt; Proc. Amer. Math. Soc. 130 (2002), 1775-1777; DOI: https://doi.org/10.1090/S0002-9939-01-06260-8; Published electronically: November 9, 2001; PDF

On the location of the essential spectrum of Schrödinger operators: Giorgio Metafune and Diego Pallara; Proc. Amer. Math. Soc. 130 (2002), 1779-1786; DOI: https://doi.org/10.1090/S0002-9939-01-06271-2; Published electronically: November 9, 2001; PDF

Logarithmic convexity of extended mean values: Feng Qi; Proc. Amer. Math. Soc. 130 (2002), 1787-1796; DOI: https://doi.org/10.1090/S0002-9939-01-06275-X; Published electronically: December 20, 2001; PDF

On the continuity of biconjugate convex functions: J. M. Borwein and J. D. Vanderwerff; Proc. Amer. Math. Soc. 130 (2002), 1797-1803; DOI: https://doi.org/10.1090/S0002-9939-01-06249-9; Published electronically: October 24, 2001; PDF

A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric: Bahaa E. Abdalla and Franki Dillen; Proc. Amer. Math. Soc. 130 (2002), 1805-1808; DOI: https://doi.org/10.1090/S0002-9939-01-06220-7; Published electronically: December 20, 2001; PDF

Finiteness theorems for submersions and souls: Kristopher Tapp; Proc. Amer. Math. Soc. 130 (2002), 1809-1817; DOI: https://doi.org/10.1090/S0002-9939-01-06244-X; Published electronically: October 12, 2001; PDF

Strongly representable atom structures of relation algebras: Robin Hirsch and Ian Hodkinson; Proc. Amer. Math. Soc. 130 (2002), 1819-1831; DOI: https://doi.org/10.1090/S0002-9939-01-06232-3; Published electronically: May 23, 2001; PDF

On translations of subsets of the real line: Jacek Cichoń, Andrzej Jasiński, Anastasis Kamburelis and Przemysław Szczepaniak; Proc. Amer. Math. Soc. 130 (2002), 1833-1842; DOI: https://doi.org/10.1090/S0002-9939-01-06224-4; Published electronically: October 17, 2001; PDF

Linearity of dimension functions for semilinear $G$-spheres: Ikumitsu Nagasaki; Proc. Amer. Math. Soc. 130 (2002), 1843-1850; DOI: https://doi.org/10.1090/S0002-9939-02-06512-7; Published electronically: January 25, 2002; PDF

On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds: Joel Hass, Shicheng Wang and Qing Zhou; Proc. Amer. Math. Soc. 130 (2002), 1851-1857; DOI: https://doi.org/10.1090/S0002-9939-01-06262-1; Published electronically: October 23, 2001; PDF

$L^p$ version of Hardy’s theorem on semisimple Lie groups: E. K. Narayanan and S. K. Ray; Proc. Amer. Math. Soc. 130 (2002), 1859-1866; DOI: https://doi.org/10.1090/S0002-9939-02-06272-X; Published electronically: January 16, 2002; PDF

Covering maps that are not compositions of covering maps of lesser order: Jerzy Krzempek; Proc. Amer. Math. Soc. 130 (2002), 1867-1873; DOI: https://doi.org/10.1090/S0002-9939-01-06266-9; Published electronically: November 15, 2001; PDF

Erratum to “On condensations of $C_{p}$-spaces onto compacta”: A. V. Arhangel’skii; Proc. Amer. Math. Soc. 130 (2002), 1875-1875; DOI: https://doi.org/10.1090/S0002-9939-02-06463-8; Published electronically: January 11, 2002; PDF