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)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 40, Number 1
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Real-linear operators on quaternionic Hilbert space: N. C. Powers; Proc. Amer. Math. Soc. 40 (1973), 1-8; DOI: https://doi.org/10.1090/S0002-9939-1973-0318965-9; PDF

On valuation rings that contain zero divisors: James A. Huckaba; Proc. Amer. Math. Soc. 40 (1973), 9-15; DOI: https://doi.org/10.1090/S0002-9939-1973-0318134-2; PDF

Determinantal varieties, monomial semigroups, and algebras associated with ideals: Jacob Barshay; Proc. Amer. Math. Soc. 40 (1973), 16-22; DOI: https://doi.org/10.1090/S0002-9939-1973-0318137-8; PDF

On classical quotients of polynomial identity rings with involution: Louis Halle Rowen; Proc. Amer. Math. Soc. 40 (1973), 23-29; DOI: https://doi.org/10.1090/S0002-9939-1973-0323822-8; PDF

On the number of field topologies on an infinite field: John O. Kiltinen; Proc. Amer. Math. Soc. 40 (1973), 30-36; DOI: https://doi.org/10.1090/S0002-9939-1973-0318118-4; PDF

Normal subgroups of groups which are products of two Abelian subgroups: Larry E. Knop; Proc. Amer. Math. Soc. 40 (1973), 37-41; DOI: https://doi.org/10.1090/S0002-9939-1973-0320163-X; PDF

The projective class group of the fundamental group of a surface is trivial: Koo Guan Choo; Proc. Amer. Math. Soc. 40 (1973), 42-46; DOI: https://doi.org/10.1090/S0002-9939-1973-0323869-1; PDF

The Hoheisel phenomenon for generalized Dirichlet series: Carlos Julio Moreno; Proc. Amer. Math. Soc. 40 (1973), 47-51; DOI: https://doi.org/10.1090/S0002-9939-1973-0327682-0; PDF

Conjugacy separating representations of free groups: B. A. F. Wehrfritz; Proc. Amer. Math. Soc. 40 (1973), 52-56; DOI: https://doi.org/10.1090/S0002-9939-1973-0374269-X; PDF

Extending a Jordan ring homomorphism: Robert Lewand; Proc. Amer. Math. Soc. 40 (1973), 57-59; DOI: https://doi.org/10.1090/S0002-9939-1973-0321984-X; PDF

A correction to: “On Fricke moduli”: Linda Keen; Proc. Amer. Math. Soc. 40 (1973), 60-62; DOI: https://doi.org/10.1090/S0002-9939-1973-0320306-8; PDF

A lifting formula for the Hilbert symbol: Edward A. Bender; Proc. Amer. Math. Soc. 40 (1973), 63-65; DOI: https://doi.org/10.1090/S0002-9939-1973-0318058-0; PDF

More noneuclidian $\textrm {PID}$’s and Dedekind domains with prescribed class group: Paul Eakin and W. Heinzer; Proc. Amer. Math. Soc. 40 (1973), 66-68; DOI: https://doi.org/10.1090/S0002-9939-1973-0319975-8; PDF

Symmetric homology over rings containing the rationals: Patrick J. Fleury; Proc. Amer. Math. Soc. 40 (1973), 69-74; DOI: https://doi.org/10.1090/S0002-9939-1973-0318267-0; PDF

A new proof of the construction theorem for Stone algebras: Tibor Katriňák; Proc. Amer. Math. Soc. 40 (1973), 75-78; DOI: https://doi.org/10.1090/S0002-9939-1973-0316335-0; PDF

Beurling generalized prime number systems in which the Chebyshev inequalities fail: R. S. Hall; Proc. Amer. Math. Soc. 40 (1973), 79-82; DOI: https://doi.org/10.1090/S0002-9939-1973-0318085-3; PDF

Groups in which every maximal partial order is exhaustive: Gary J. Sherman; Proc. Amer. Math. Soc. 40 (1973), 83-86; DOI: https://doi.org/10.1090/S0002-9939-1973-0318033-6; PDF

On Prüfer rings as images of Prüfer domains: Monte B. Boisen and Max D. Larsen; Proc. Amer. Math. Soc. 40 (1973), 87-90; DOI: https://doi.org/10.1090/S0002-9939-1973-0319979-5; PDF

Prime rings with involution whose symmetric zero-divisors are nilpotent: P. M. Cohn; Proc. Amer. Math. Soc. 40 (1973), 91-92; DOI: https://doi.org/10.1090/S0002-9939-1973-0318202-5; PDF

On simple injective rings: Sigurd Elliger; Proc. Amer. Math. Soc. 40 (1973), 93-94; DOI: https://doi.org/10.1090/S0002-9939-1973-0320074-X; PDF

The solution of an integral equation: C. Nasim; Proc. Amer. Math. Soc. 40 (1973), 95-101; DOI: https://doi.org/10.1090/S0002-9939-1973-0320665-6; PDF

Subalgebras of Douglas algebras: Kevin Clancey and Wayne Cutrer; Proc. Amer. Math. Soc. 40 (1973), 102-106; DOI: https://doi.org/10.1090/S0002-9939-1973-0318895-2; PDF

Boundedness properties for semigroups of operators: Frode Terkelsen; Proc. Amer. Math. Soc. 40 (1973), 107-111; DOI: https://doi.org/10.1090/S0002-9939-1973-0326485-0; PDF

Decomposable and spectral operators on a Hilbert space: Bhushan L. Wadhwa; Proc. Amer. Math. Soc. 40 (1973), 112-114; DOI: https://doi.org/10.1090/S0002-9939-1973-0322581-2; PDF

Type II $W-^{\ast }$ algebras are not normal: Paul Willig; Proc. Amer. Math. Soc. 40 (1973), 115-119; DOI: https://doi.org/10.1090/S0002-9939-1973-0320769-8; PDF

On hyperfinite $W-^{\ast }$ algebras: Paul Willig; Proc. Amer. Math. Soc. 40 (1973), 120-122; DOI: https://doi.org/10.1090/S0002-9939-1973-0328618-9; PDF

A quadratic eigenvalue problem: W. M. Greenlee; Proc. Amer. Math. Soc. 40 (1973), 123-127; DOI: https://doi.org/10.1090/S0002-9939-1973-0328648-7; PDF

A class of $C^*$-algebras: Horst Behncke and Wolfgang Bös; Proc. Amer. Math. Soc. 40 (1973), 128-134; DOI: https://doi.org/10.1090/S0002-9939-1973-0331073-6; PDF

Some remarks on absolute continuity on groups: I. Glicksberg; Proc. Amer. Math. Soc. 40 (1973), 135-139; DOI: https://doi.org/10.1090/S0002-9939-1973-0320630-9; PDF

A note on multivalence of functions of bounded index: Gerd H. Fricke; Proc. Amer. Math. Soc. 40 (1973), 140-142; DOI: https://doi.org/10.1090/S0002-9939-1973-0320315-9; PDF

On a property of rational functions. II: Q. I. Rahman; Proc. Amer. Math. Soc. 40 (1973), 143-145; DOI: https://doi.org/10.1090/S0002-9939-1973-0357746-7; PDF

The equation $L(E, X^{\ast \ast })=L(E, X)^{\ast \ast }$ and the principle of local reflexivity: David W. Dean; Proc. Amer. Math. Soc. 40 (1973), 146-148; DOI: https://doi.org/10.1090/S0002-9939-1973-0324383-X; PDF

On $L^{p}$ norms and the equimeasurability of functions: Kenneth F. Andersen; Proc. Amer. Math. Soc. 40 (1973), 149-153; DOI: https://doi.org/10.1090/S0002-9939-1973-0316662-7; PDF

A note on topological dynamics and limiting equations: S. M. Shamim Imdadi and M. Rama Mohana Rao; Proc. Amer. Math. Soc. 40 (1973), 154-158; DOI: https://doi.org/10.1090/S0002-9939-1973-0322274-1; PDF

Exceptional values of analytic functions: P. Krajkiewicz; Proc. Amer. Math. Soc. 40 (1973), 159-165; DOI: https://doi.org/10.1090/S0002-9939-1973-0330466-0; PDF

An approximation theory for oscillations of differential equations: John Gregory; Proc. Amer. Math. Soc. 40 (1973), 166-172; DOI: https://doi.org/10.1090/S0002-9939-1973-0322248-0; PDF

On the zeros of certain confluent hypergeometric functions: P. Wynn; Proc. Amer. Math. Soc. 40 (1973), 173-182; DOI: https://doi.org/10.1090/S0002-9939-1973-0318529-7; PDF

A Kneser theorem for Volterra integral equations: Walter G. Kelley; Proc. Amer. Math. Soc. 40 (1973), 183-190; DOI: https://doi.org/10.1090/S0002-9939-1973-0316983-8; PDF

Some regularity theorems for typically real functions: George B. Leeman; Proc. Amer. Math. Soc. 40 (1973), 191-198; DOI: https://doi.org/10.1090/S0002-9939-1973-0324018-6; PDF

Planar Fourier transforms and Diophantine approximation: R. Kaufman; Proc. Amer. Math. Soc. 40 (1973), 199-204; DOI: https://doi.org/10.1090/S0002-9939-1973-0320626-7; PDF

The dilatation of harmonic quasiconformal functions: William V. Caldwell; Proc. Amer. Math. Soc. 40 (1973), 205-208; DOI: https://doi.org/10.1090/S0002-9939-1973-0318479-6; PDF

Equations which characterize inner product spaces: David A. Senechalle; Proc. Amer. Math. Soc. 40 (1973), 209-214; DOI: https://doi.org/10.1090/S0002-9939-1973-0318851-4; PDF

A remark on $C_{\sigma }$ spaces: Simeon Reich; Proc. Amer. Math. Soc. 40 (1973), 215-216; DOI: https://doi.org/10.1090/S0002-9939-1973-0326368-6; PDF

Continuity of linear fractional transformations on an operator algebra: J. William Helton; Proc. Amer. Math. Soc. 40 (1973), 217-218; DOI: https://doi.org/10.1090/S0002-9939-1973-0324437-8; PDF

Nonlinear oscillation of a sublinear delay equation of arbitrary order: Takaŝi Kusano and Hiroshi Onose; Proc. Amer. Math. Soc. 40 (1973), 219-224; DOI: https://doi.org/10.1090/S0002-9939-1973-0324177-5; PDF

Inversion of normal operators by polynomial interpolation: J. C. Dunn; Proc. Amer. Math. Soc. 40 (1973), 225-228; DOI: https://doi.org/10.1090/S0002-9939-1973-0318934-9; PDF

Two ergodic theorems for convex combinations of commuting isometries: S. A. McGrath; Proc. Amer. Math. Soc. 40 (1973), 229-234; DOI: https://doi.org/10.1090/S0002-9939-1973-0318927-1; PDF

A characterization of convex surfaces which are $L$-sets: E. O. Buchman and F. A. Valentine; Proc. Amer. Math. Soc. 40 (1973), 235-239; DOI: https://doi.org/10.1090/S0002-9939-1973-0320887-4; PDF

Some totally real minimal surfaces in $CP^{2}$: Chorng-shi Houh; Proc. Amer. Math. Soc. 40 (1973), 240-244; DOI: https://doi.org/10.1090/S0002-9939-1973-0317189-9; PDF

Isometric embedding of a compact Riemannian manifold into Euclidean space: Howard Jacobowitz; Proc. Amer. Math. Soc. 40 (1973), 245-246; DOI: https://doi.org/10.1090/S0002-9939-1973-0375173-3; PDF

A characteristic extremal property of simplices: Rolf Schneider; Proc. Amer. Math. Soc. 40 (1973), 247-249; DOI: https://doi.org/10.1090/S0002-9939-1973-0322687-8; PDF

Compact $\mathcal {G}$-souslin sets are $G_\delta$’s: Eric John Braude; Proc. Amer. Math. Soc. 40 (1973), 250-252; DOI: https://doi.org/10.1090/S0002-9939-1973-0321047-3; PDF

Relations in stable homotopy modules: Donald W. Kahn; Proc. Amer. Math. Soc. 40 (1973), 253-259; DOI: https://doi.org/10.1090/S0002-9939-1973-0436139-8; PDF

Locally compact groups without distinct isomorphic closed subgroups: D. L. Armacost and R. R. Bruner; Proc. Amer. Math. Soc. 40 (1973), 260-264; DOI: https://doi.org/10.1090/S0002-9939-1973-0330344-7; PDF

Schlais’ theorem extends to $\lambda$ connected plane continua: Charles L. Hagopian; Proc. Amer. Math. Soc. 40 (1973), 265-267; DOI: https://doi.org/10.1090/S0002-9939-1973-0317297-2; PDF

A filter characterization of regular Baire spaces: R. A. McCoy; Proc. Amer. Math. Soc. 40 (1973), 268-270; DOI: https://doi.org/10.1090/S0002-9939-1973-0339096-8; PDF

The number of continua: F. W. Lozier and R. H. Marty; Proc. Amer. Math. Soc. 40 (1973), 271-273; DOI: https://doi.org/10.1090/S0002-9939-1973-0328849-8; PDF

Noninvertible knots of codimension $2$: C. Kearton; Proc. Amer. Math. Soc. 40 (1973), 274-276; DOI: https://doi.org/10.1090/S0002-9939-1973-0341466-9; PDF

Compact semigroups with low dimensional orbit spaces: R. P. Hunter; Proc. Amer. Math. Soc. 40 (1973), 277-279; DOI: https://doi.org/10.1090/S0002-9939-1973-0316621-4; PDF

Locally contractible spaces that are absolute neighborhood retracts: William E. Haver; Proc. Amer. Math. Soc. 40 (1973), 280-284; DOI: https://doi.org/10.1090/S0002-9939-1973-0331311-X; PDF

$C$-separated sets in certain metric spaces: R. F. Dickman, R. A. McCoy and L. R. Rubin; Proc. Amer. Math. Soc. 40 (1973), 285-290; DOI: https://doi.org/10.1090/S0002-9939-1973-0328882-6; PDF

A theorem on the restriction of type I representations of a group to certain of its subgroups: Robert R. Kallman; Proc. Amer. Math. Soc. 40 (1973), 291-296; DOI: https://doi.org/10.1090/S0002-9939-1973-0316630-5; PDF

On the shape of torus-like continua and compact connected topological groups: James Keesling; Proc. Amer. Math. Soc. 40 (1973), 297-302; DOI: https://doi.org/10.1090/S0002-9939-1973-0319140-4; PDF

Free topological groups and the projective dimension of a locally compact abelian group: John Mack, Sidney A. Morris and Edward T. Ordman; Proc. Amer. Math. Soc. 40 (1973), 303-308; DOI: https://doi.org/10.1090/S0002-9939-1973-0320216-6; PDF

The cobordism of involutions on orientable manifolds: R. J. Rowlett; Proc. Amer. Math. Soc. 40 (1973), 309-314; DOI: https://doi.org/10.1090/S0002-9939-1973-0324716-4; PDF

Pontryagin classes of vector bundles over $B\textrm {Sp}(n)$: Duane O’Neill; Proc. Amer. Math. Soc. 40 (1973), 315-318; DOI: https://doi.org/10.1090/S0002-9939-1973-0317327-8; PDF

A note on the extension of contractive mappings: J. L. Solomon; Proc. Amer. Math. Soc. 40 (1973), 319-322; DOI: https://doi.org/10.1090/S0002-9939-1973-0322784-7; PDF

On a problem of F. Riesz concerning proximity structures: W. J. Thron; Proc. Amer. Math. Soc. 40 (1973), 323-326; DOI: https://doi.org/10.1090/S0002-9939-1973-0322818-X; PDF

An exact sequence calculation for the second homotopy of a knot. II: M. A. Gutiérrez; Proc. Amer. Math. Soc. 40 (1973), 327-330; DOI: https://doi.org/10.1090/S0002-9939-1973-0322849-X; PDF

A characterization of realcompact extensions: Marlon Rayburn; Proc. Amer. Math. Soc. 40 (1973), 331-332; DOI: https://doi.org/10.1090/S0002-9939-1973-0322811-7; PDF