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 101, Number 1
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On locally repeated values of certain arithmetic functions. III: Paul Erdős, Carl Pomerance and András Sárközy; Proc. Amer. Math. Soc. 101 (1987), 1-7; DOI: https://doi.org/10.1090/S0002-9939-1987-0897061-6; PDF

Weierstrass weight and degenerations: R. F. Lax; Proc. Amer. Math. Soc. 101 (1987), 8-10; DOI: https://doi.org/10.1090/S0002-9939-1987-0897062-8; PDF

Free products of lattice-ordered groups: A. M. W. Glass; Proc. Amer. Math. Soc. 101 (1987), 11-16; DOI: https://doi.org/10.1090/S0002-9939-1987-0897063-X; PDF

Properness of Lie algebras and enveloping algebras. I: Walter Michaelis; Proc. Amer. Math. Soc. 101 (1987), 17-23; DOI: https://doi.org/10.1090/S0002-9939-1987-0897064-1; PDF

$K$-theoretic triviality for Rickart $C^ \ast$-algebras and $\aleph _ 0$-continuous regular rings: Claudi Busqué; Proc. Amer. Math. Soc. 101 (1987), 24-28; DOI: https://doi.org/10.1090/S0002-9939-1987-0897065-3; PDF

The generalized Burgers’ equation and the Navier-Stokes equation in $\textbf {R}^ n$ with singular initial data: Joel D. Avrin; Proc. Amer. Math. Soc. 101 (1987), 29-40; DOI: https://doi.org/10.1090/S0002-9939-1987-0897066-5; PDF

Pointwise convergence approximate identities of dilated radially decreasing kernels: R. A. Kerman; Proc. Amer. Math. Soc. 101 (1987), 41-44; DOI: https://doi.org/10.1090/S0002-9939-1987-0897067-7; PDF

Chaos and higher order differences: John W. Neuberger; Proc. Amer. Math. Soc. 101 (1987), 45-50; DOI: https://doi.org/10.1090/S0002-9939-1987-0897068-9; PDF

Regularizing properties of nonlinear semigroups: Semion Gutman; Proc. Amer. Math. Soc. 101 (1987), 51-56; DOI: https://doi.org/10.1090/S0002-9939-1987-0897069-0; PDF

Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball: Alfonso Castro and Alexandra Kurepa; Proc. Amer. Math. Soc. 101 (1987), 57-64; DOI: https://doi.org/10.1090/S0002-9939-1987-0897070-7; PDF

Norms on enveloping algebras: Denis Luminet; Proc. Amer. Math. Soc. 101 (1987), 65-66; DOI: https://doi.org/10.1090/S0002-9939-1987-0897071-9; PDF

On the singularities of the continuous Jacobi transform when $\alpha +\beta =0$: Ahmed I. Zayed; Proc. Amer. Math. Soc. 101 (1987), 67-75; DOI: https://doi.org/10.1090/S0002-9939-1987-0897072-0; PDF

$K^ n$-positive maps in $C^ \ast$-algebras: Takashi Itoh; Proc. Amer. Math. Soc. 101 (1987), 76-80; DOI: https://doi.org/10.1090/S0002-9939-1987-0897073-2; PDF

A theorem on weighted $L^ 1$-approximation: Darrell Schmidt; Proc. Amer. Math. Soc. 101 (1987), 81-84; DOI: https://doi.org/10.1090/S0002-9939-1987-0897074-4; PDF

$A\geq B\geq 0$ assures $(B^ rA^ pB^ r)^ {1/q}\geq B^ {(p+2r)/q}$ for $r\geq 0$, $p\geq 0$, $q\geq 1$ with $(1+2r)q\geq p+2r$: Takayuki Furuta; Proc. Amer. Math. Soc. 101 (1987), 85-88; DOI: https://doi.org/10.1090/S0002-9939-1987-0897075-6; PDF

On the Fekete-Szegő problem for close-to-convex functions: Wolfram Koepf; Proc. Amer. Math. Soc. 101 (1987), 89-95; DOI: https://doi.org/10.1090/S0002-9939-1987-0897076-8; PDF

Asymptotic integration of a second order ordinary differential equation: Jaromír Šimša; Proc. Amer. Math. Soc. 101 (1987), 96-100; DOI: https://doi.org/10.1090/S0002-9939-1987-0897077-X; PDF

On the Calkin representations of $B(\mathcal {H})$: H. Behncke; Proc. Amer. Math. Soc. 101 (1987), 101-107; DOI: https://doi.org/10.1090/S0002-9939-1987-0897078-1; PDF

A transformation for an $n$-balanced $_ 3\Phi _ 2$: H. M. Srivastava; Proc. Amer. Math. Soc. 101 (1987), 108-112; DOI: https://doi.org/10.1090/S0002-9939-1987-0897079-3; PDF

Weighted norm inequalities for the Fourier transform on certain totally disconnected groups: T. S. Quek; Proc. Amer. Math. Soc. 101 (1987), 113-121; DOI: https://doi.org/10.1090/S0002-9939-1987-0897080-X; PDF

Denting points in tensor products of Banach spaces: Dirk Werner; Proc. Amer. Math. Soc. 101 (1987), 122-126; DOI: https://doi.org/10.1090/S0002-9939-1987-0897081-1; PDF

On the intersection of varieties with a totally real submanifold: Howard Jacobowitz; Proc. Amer. Math. Soc. 101 (1987), 127-130; DOI: https://doi.org/10.1090/S0002-9939-1987-0897082-3; PDF

Boundary limits of Green potentials of general order: Yoshihiro Mizuta; Proc. Amer. Math. Soc. 101 (1987), 131-135; DOI: https://doi.org/10.1090/S0002-9939-1987-0897083-5; PDF

Orthogonal complex structures on $S^ 6$: Claude LeBrun; Proc. Amer. Math. Soc. 101 (1987), 136-138; DOI: https://doi.org/10.1090/S0002-9939-1987-0897084-7; PDF

A simple construction of Robinson equivalence relations: Daniele Mundici; Proc. Amer. Math. Soc. 101 (1987), 139-141; DOI: https://doi.org/10.1090/S0002-9939-1987-0897085-9; PDF

The convergence of moments in the central limit theorem for $\rho$-mixing sequences of random variables: Magda Peligrad; Proc. Amer. Math. Soc. 101 (1987), 142-148; DOI: https://doi.org/10.1090/S0002-9939-1987-0897086-0; PDF

Sequentially compact, Franklin-Rajagopalan spaces: P. J. Nyikos and J. E. Vaughan; Proc. Amer. Math. Soc. 101 (1987), 149-155; DOI: https://doi.org/10.1090/S0002-9939-1987-0897087-2; PDF

Some remarks on category in topological spaces: Zbigniew Piotrowski and Andrzej Szymański; Proc. Amer. Math. Soc. 101 (1987), 156-160; DOI: https://doi.org/10.1090/S0002-9939-1987-0897088-4; PDF

An adjoint representation for polynomial algebras: Stephen A. Mitchell and Robert E. Stong; Proc. Amer. Math. Soc. 101 (1987), 161-167; DOI: https://doi.org/10.1090/S0002-9939-1987-0897089-6; PDF

The locally finite topology on $2^ X$: G. A. Beer, C. J. Himmelberg, K. Prikry and F. S. Van Vleck; Proc. Amer. Math. Soc. 101 (1987), 168-172; DOI: https://doi.org/10.1090/S0002-9939-1987-0897090-2; PDF

Domain invariance in infinite-dimensional linear spaces: Jan van Mill; Proc. Amer. Math. Soc. 101 (1987), 173-180; DOI: https://doi.org/10.1090/S0002-9939-1987-0897091-4; PDF

Homotopy theories for diagrams of spaces: E. Dror Farjoun; Proc. Amer. Math. Soc. 101 (1987), 181-189; DOI: https://doi.org/10.1090/S0002-9939-1987-0897092-6; PDF

Multicoherence of spaces of the form $X/M$: Alejandro Illanes M.; Proc. Amer. Math. Soc. 101 (1987), 190-194; DOI: https://doi.org/10.1090/S0002-9939-1987-0897093-8; PDF

Knots with finite weight commutator subgroups: Charles Livingston; Proc. Amer. Math. Soc. 101 (1987), 195-198; DOI: https://doi.org/10.1090/S0002-9939-1987-0897094-X; PDF

Vertices of localized imbalance in a biased graph: Thomas Zaslavsky; Proc. Amer. Math. Soc. 101 (1987), 199-204; DOI: https://doi.org/10.1090/S0002-9939-1987-0897095-1; PDF