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 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contents of Volume 75, Number 4
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Miscellaneous back pages, Bull. Amer. Math. Soc., Volume 75, Number 4 (1969): PDF; Bull. Amer. Math. Soc. 75 (1969)

Miscellaneous front pages, Bull. Amer. Math. Soc., Volume 75, Number 4 (1969): PDF; Bull. Amer. Math. Soc. 75 (1969)

On the existence and irreducibility of certain series of representations: Bertram Kostant PDF; Bull. Amer. Math. Soc. 75 (1969), 627-642

Vector fields on manifolds: Emery Thomas PDF; Bull. Amer. Math. Soc. 75 (1969), 643-683

Differentiability theorems for weak solutions of nonlinear elliptic differential equations: Charles B. Morrey Jr. PDF; Bull. Amer. Math. Soc. 75 (1969), 684-705

The April meeting in New York: Everett Pitcher and Leonard Gillman PDF; Bull. Amer. Math. Soc. 75 (1969), 728-738

On projections of selfadjoint operators and operator product adjoints: Karl Gustafson PDF; Bull. Amer. Math. Soc. 75 (1969), 739-741

On the triangulation of manifolds and the Hauptvermutung: R. C. Kirby and L. C. Siebenmann PDF; Bull. Amer. Math. Soc. 75 (1969), 742-749

Triangulation of manifolds. I: R. Lashof and M. Rothenberg PDF; Bull. Amer. Math. Soc. 75 (1969), 750-754

Triangulation of manifolds. II: R. Lashof and M. Rothenberg PDF; Bull. Amer. Math. Soc. 75 (1969), 755-757

Some inequalities from switching theory: J. L. Brenner PDF; Bull. Amer. Math. Soc. 75 (1969), 758

Infinite-dimensional manifolds are open subsets of Hilbert space: David W. Henderson PDF; Bull. Amer. Math. Soc. 75 (1969), 759-762

Semigroups of partial isometries: Lawrence J. Wallen PDF; Bull. Amer. Math. Soc. 75 (1969), 763-764

On some singular convolution operators: Charles Fefferman PDF; Bull. Amer. Math. Soc. 75 (1969), 765-769

Compact families of almost periodic functions: A. M. Fink PDF; Bull. Amer. Math. Soc. 75 (1969), 770-771

On $P^2$-irreducible 3-manifolds: Wolfgang Heil PDF; Bull. Amer. Math. Soc. 75 (1969), 772-775

Ruled surfaces and the Albanese mapping: Arthur Mattuck PDF; Bull. Amer. Math. Soc. 75 (1969), 776-779

A countability condition for primary groups presented by relations of length two: Paul Hill PDF; Bull. Amer. Math. Soc. 75 (1969), 780-782

On existence and rigidity of isometric immersions: R. H. Szczarba PDF; Bull. Amer. Math. Soc. 75 (1969), 783-787

On the space of homeomorphisms of $E^3$: P. R. Hall PDF; Bull. Amer. Math. Soc. 75 (1969), 788-789

On subalgebras of $C^*$-algebras: William B. Arveson PDF; Bull. Amer. Math. Soc. 75 (1969), 790-794

Convex combinations of unimodular functions: Walter Rudin PDF; Bull. Amer. Math. Soc. 75 (1969), 795-797

Some linear topological properties of $L^\infty$ of a finite measure space: Haskell P. Rosenthal PDF; Bull. Amer. Math. Soc. 75 (1969), 798-802

A local spectral theory for operators. II: J. G. Stampfli PDF; Bull. Amer. Math. Soc. 75 (1969), 803-806

The spectrum of noncompact ${G \left / {\vphantom {G \Gamma }} \right . \kern -\nulldelimiterspace \Gamma }$ and the cohomology of arithmetic groups: Howard Garland PDF; Bull. Amer. Math. Soc. 75 (1969), 807-811

On simultaneous approximation and interpolation which preserves the norm: Frank Deutsch and Peter D. Morris PDF; Bull. Amer. Math. Soc. 75 (1969), 812-814

Taming codimension three embeddings: T. B. Rushing PDF; Bull. Amer. Math. Soc. 75 (1969), 815-820

The space of continuous linear operators as a completion of $E’ \otimes F$: J. W. Brace PDF; Bull. Amer. Math. Soc. 75 (1969), 821-823

On injective Banach spaces and the spaces $C\left ( S \right )$: Haskell P. Rosenthal PDF; Bull. Amer. Math. Soc. 75 (1969), 824-828

A “functional equation” for measures and a generalization of Gaussian measures: Lawrence Corwin PDF; Bull. Amer. Math. Soc. 75 (1969), 829-832

Triangulating nonsimply connected manifolds: John Hollingsworth PDF; Bull. Amer. Math. Soc. 75 (1969), 833-835

A note on slit mappings: Dov Aharonov PDF; Bull. Amer. Math. Soc. 75 (1969), 836-839

Applications of Radon-Nikodým theorems to martingales of vector valued functions: J. J. Uhl Jr. PDF; Bull. Amer. Math. Soc. 75 (1969), 840-842

On singular integrals: N. M. Rivière PDF; Bull. Amer. Math. Soc. 75 (1969), 843-847

Potential theory for infinitely divisible processes on Abelian groups: Sidney C. Port and Charles J. Stone PDF; Bull. Amer. Math. Soc. 75 (1969), 848-851

A note on functors ${\text {Ext}}$ over the ring $Z$: Keean Lee PDF; Bull. Amer. Math. Soc. 75 (1969), 852-856

Analytic maps between tori: Heinz G. Helfenstein PDF; Bull. Amer. Math. Soc. 75 (1969), 857-859

A Weierstrass theorem for normed linear spaces: P. M. Prenter PDF; Bull. Amer. Math. Soc. 75 (1969), 860-862

Some new bounds on perturbation of subspaces: Chandler Davis and W. M. Kahan PDF; Bull. Amer. Math. Soc. 75 (1969), 863-868

Klein surfaces and real algebraic function fields: Norman Alling and Newcomb Greenleaf PDF; Bull. Amer. Math. Soc. 75 (1969), 869-872

On the construction of the Eilenberg-Moore spectral sequence: Larry Smith PDF; Bull. Amer. Math. Soc. 75 (1969), 873-878

On orbits associated with symmetric spaces: Bertram Kostant and Stephen Rallis PDF; Bull. Amer. Math. Soc. 75 (1969), 879-883

On representations associated with symmetric spaces: Bertram Kostant and Stephen Rallis PDF; Bull. Amer. Math. Soc. 75 (1969), 884-888

Erratum, Volume 75: PDF; Bull. Amer. Math. Soc. 75 (1969), 888

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

A course in probability theory, by Kai Lai Chung.
Probability, by Leo Breiman.: Reviewer: Louis Sucheston; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 706-709

An introduction to harmonic analysis, by Yitzhak Katznelson.: Reviewer: J. Ian Richards; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 709-712

An introduction to nonassociative algebras, by R. D. Schafer.: Reviewer: Maria J. Wonenburger; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 712-714

Noncommutative rings, by I. N. Herstein.: Reviewer: Maria J. Wonenburger; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 714-717

Introduction to the theory of abstract algebras, by R. S. Pierce.: Reviewer: P. M. Cohn; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 717-719

Linear and quasilinear elliptic equations, by O. A. Ladyženskaja and N. N. Ural′ceva.: Reviewer: N. S. Trudinger; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 720-722

Convex sets, by F. A. Valentine.: Reviewer: Victor Klee; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 722-724

Nonlinear two point boundary value problems, by Paul Bailey.: Reviewer: J. W. Bebernes; Review information PDF; Bull. Amer. Math. Soc. 75 (1969), 724-727