Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 81, Number 1
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Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 81, Number 1 (1975): PDF; Bull. Amer. Math. Soc. 81 (1975)

Some convexity and subadditivity properties of entropy: Elliott H. Lieb PDF; Bull. Amer. Math. Soc. 81 (1975), 1-13

Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 81, Number 1 (1975): PDF; Bull. Amer. Math. Soc. 81 (1975)

Diophantine equations and modular forms: A. P. Ogg PDF; Bull. Amer. Math. Soc. 81 (1975), 14-27

Joseph L. Walsh in memoriam: Morris Marden PDF; Bull. Amer. Math. Soc. 81 (1975), 45-65

Elections to membership: PDF; Bull. Amer. Math. Soc. 81 (1975), 66-68

The April meeting in New York: Walter Gottschalk PDF; Bull. Amer. Math. Soc. 81 (1975), 69-70

The April meeting in Santa Barbara: Kenneth A. Ross PDF; Bull. Amer. Math. Soc. 81 (1975), 71

The May meeting in Dekalb: Paul T. Bateman PDF; Bull. Amer. Math. Soc. 81 (1975), 71-72

Existence theorems for nonlinear integral equations of Hammerstein type: Haim Brezis and Felix E. Browder PDF; Bull. Amer. Math. Soc. 81 (1975), 73-78

Differential inequalities and Carathéodory functions: Sanford Miller PDF; Bull. Amer. Math. Soc. 81 (1975), 79-81

Maximal monotone operators in nonreflexive Banach spaces and nonlinear integral equations of Hammerstein type: Haim Brezis and Felix E. Browder PDF; Bull. Amer. Math. Soc. 81 (1975), 82-88

Group actions and curvature: Karsten Grove, Hermann Karcher and Ernst A. Ruh PDF; Bull. Amer. Math. Soc. 81 (1975), 89-92

An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures: Simon Aloff and Nolan R. Wallach PDF; Bull. Amer. Math. Soc. 81 (1975), 93-97

Conical distributions for rank one symmetric spaces: Men-Chang Hu PDF; Bull. Amer. Math. Soc. 81 (1975), 98-100

Approximation theorems, $C^ \infty$ convex exhaustions and manifolds of positive curvature: R. E. Greene and H. Wu PDF; Bull. Amer. Math. Soc. 81 (1975), 101-104

On weak and strong convergence of positive contractions in $L_p$ spaces: M. A. Akcoglu and L. Sucheston PDF; Bull. Amer. Math. Soc. 81 (1975), 105-106

Sums of $k$th powers in the ring of polynomials with integer coefficients: Ted Chinburg and Melvin Henriksen PDF; Bull. Amer. Math. Soc. 81 (1975), 107-110

A complete local factorial ring of dimension 4 which is not Cohen-Macaulay: Robert M. Fossum and Phillip A. Griffith PDF; Bull. Amer. Math. Soc. 81 (1975), 111-113

The conjugacy problem and cyclic amalgamations: Seymour Lipschutz PDF; Bull. Amer. Math. Soc. 81 (1975), 114-116

$L_2$-representations and a Plancherel-type theorem for parabolic subgroups: Frederick W. Keene PDF; Bull. Amer. Math. Soc. 81 (1975), 117-120

Commutative subalgebra of $L^1 \left (G \right )$ associated with a subelliptic operator on a Lie group $G$: A. Hulanicki PDF; Bull. Amer. Math. Soc. 81 (1975), 121-124

Relative completions of $A$-Segal algebras: James T. Burnham PDF; Bull. Amer. Math. Soc. 81 (1975), 125-127

Harmonic forms and Riesz transforms for rank one symmetric spaces: Aroldo Kaplan and Robert Putz PDF; Bull. Amer. Math. Soc. 81 (1975), 128-132

Cohen-Macaulay rings and constructible polytopes: Richard P. Stanley PDF; Bull. Amer. Math. Soc. 81 (1975), 133-135

A lattice fixed-point theorem with constraints: Alvin E. Roth PDF; Bull. Amer. Math. Soc. 81 (1975), 136-138

On the distribution of the zeros of the Riemann zeta function in short intervals: Akio Fujii PDF; Bull. Amer. Math. Soc. 81 (1975), 139-142

On the conjugate of bounded functions: S. K. Pichorides PDF; Bull. Amer. Math. Soc. 81 (1975), 143-144

A constructive characterization of disconjugacy: Anton Zettl PDF; Bull. Amer. Math. Soc. 81 (1975), 145-147

New infinite families in the stable homotopy of spheres: Larry Smith PDF; Bull. Amer. Math. Soc. 81 (1975), 148-150

Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints: F. J. Almgren Jr. PDF; Bull. Amer. Math. Soc. 81 (1975), 151-154

A strong nonimmersion theorem for ${\mathbf {R}}P^{8l+7}$: Donald M. Davis and Mark Mahowald PDF; Bull. Amer. Math. Soc. 81 (1975), 155-156

Framefields and nondegenerate singularities: Ulrich Koschorke PDF; Bull. Amer. Math. Soc. 81 (1975), 157-160

Some diophantine equations related to the quadratic form $ax^2+by^2$: Edward A. Bender and Norman P. Herzberg PDF; Bull. Amer. Math. Soc. 81 (1975), 161-162

Compact ANR’s have finite type: James E. West PDF; Bull. Amer. Math. Soc. 81 (1975), 163-165

Weak sequential convergence in the dual of a Banach space does not imply norm convergence: Bengt Josefson PDF; Bull. Amer. Math. Soc. 81 (1975), 166-168

Analysis and synthesis for the point and unitary spectra. I: N. K. Nikol′skiĭ PDF; Bull. Amer. Math. Soc. 81 (1975), 169-172

Analysis and synthesis for the point and unitary spectra. II: N. K. Nikol′skiĭ PDF; Bull. Amer. Math. Soc. 81 (1975), 173-176

Some integral inequalities of two geometric invariants: Bang-Yen Chen PDF; Bull. Amer. Math. Soc. 81 (1975), 177-178

An algorithm for the topological degree of a mapping in $n$-space: Frank Stenger PDF; Bull. Amer. Math. Soc. 81 (1975), 179-182

Trigonometry on the unit ball of a complex Hilbert space: Kyong T. Hahn PDF; Bull. Amer. Math. Soc. 81 (1975), 183-186

Mapping cylinder neighborhoods of some ANR’s: R. T. Miller PDF; Bull. Amer. Math. Soc. 81 (1975), 187-188

Uniformly trivial maps into spheres: Allan Calder PDF; Bull. Amer. Math. Soc. 81 (1975), 189-191

Some subalgebras of $L^\infty \left (T \right )$ determined by their maximal ideal spaces: T. Weight PDF; Bull. Amer. Math. Soc. 81 (1975), 192-194

Closed algebras of smooth functions: Christopher I. Byrnes PDF; Bull. Amer. Math. Soc. 81 (1975), 195-198

A comparative study of the zeros of Dirichlet $L$-functions: Akio Fujii PDF; Bull. Amer. Math. Soc. 81 (1975), 199-201

Algebras of analytic functions on degenerating Riemann surfaces: Richard Rochberg PDF; Bull. Amer. Math. Soc. 81 (1975), 202-204

Groups of diffeomorphisms of $R^n$ and the flow of a perfect fluid: Murray Cantor PDF; Bull. Amer. Math. Soc. 81 (1975), 205-208

Ultrafilters and almost disjoint sets. II: Karel Prikry PDF; Bull. Amer. Math. Soc. 81 (1975), 209-212

The number of zeroes of an analytic function in a cone: Carlos A. Berenstein PDF; Bull. Amer. Math. Soc. 81 (1975), 213-214

On local solvability of linear partial differential equations not of principal type: Paul R. Wenston PDF; Bull. Amer. Math. Soc. 81 (1975), 215-218

Maximum principles without differentiability: Frank H. Clarke PDF; Bull. Amer. Math. Soc. 81 (1975), 219-222

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Polynomial approximation, by Robert P. Feinerman and Donald J. Newman.: Reviewer: Theodore J. Rivlin; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 28-30

Invariant subspaces, by H. Radjavi and P. Rosenthal.: Reviewer: T. B. Hoover; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 31-34

Topological Riesz spaces and measure theory, by D. H. Fremlin.: Reviewer: T. A. Gillespie; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 35-38

Primideale in Einhüllenden auflösbarer Lie-algebren, by Walter Borho, Peter Gabriel and Rudolph Rentschler.: Reviewer: G. Hochschild; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 39-40

Classical Banach spaces, by Joram Lindenstrauss and Lior Tzafriri.: Reviewer: Grahame Bennett; Review information PDF; Bull. Amer. Math. Soc. 81 (1975), 41-44