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 16, Number 5
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Radii of star-likeness and close-to-covexity: M. S. Robertson; Proc. Amer. Math. Soc. 16 (1965), 847-852; DOI: https://doi.org/10.1090/S0002-9939-1965-0181744-5; PDF

Lower bounds for solutions of hyperbolic inequalities: Hajimu Ogawa; Proc. Amer. Math. Soc. 16 (1965), 853-857; DOI: https://doi.org/10.1090/S0002-9939-1965-0193376-3; PDF

Partial differential equations and the difference equations: Leopold Flatto; Proc. Amer. Math. Soc. 16 (1965), 858-863; DOI: https://doi.org/10.1090/S0002-9939-1965-0181847-5; PDF

Harnack’s and Weyl’s inequalities: Marvin Marcus; Proc. Amer. Math. Soc. 16 (1965), 864-866; DOI: https://doi.org/10.1090/S0002-9939-1965-0181646-4; PDF

$U(\varepsilon )$-sets for Walsh series: Victor L. Shapiro; Proc. Amer. Math. Soc. 16 (1965), 867-870; DOI: https://doi.org/10.1090/S0002-9939-1965-0180805-4; PDF

Pairs of Carleman-type integral equations: R. C. MacCamy; Proc. Amer. Math. Soc. 16 (1965), 871-875; DOI: https://doi.org/10.1090/S0002-9939-1965-0187037-4; PDF

A remark on an arithmetic theorem of Chevalley: H. Bass; Proc. Amer. Math. Soc. 16 (1965), 875-878; DOI: https://doi.org/10.1090/S0002-9939-1965-0184925-X; PDF

On a class of holomorphic functions: Nicolas Artémiadis; Proc. Amer. Math. Soc. 16 (1965), 879-885; DOI: https://doi.org/10.1090/S0002-9939-1965-0185102-9; PDF

Comparison theorems for elliptic differential equations: Colin Clark and C. A. Swanson; Proc. Amer. Math. Soc. 16 (1965), 886-890; DOI: https://doi.org/10.1090/S0002-9939-1965-0180753-X; PDF

Local trajectory equivalence of differential systems: Courtney Coleman; Proc. Amer. Math. Soc. 16 (1965), 890-892; DOI: https://doi.org/10.1090/S0002-9939-1965-0180752-8; PDF

On the inversion of matrices and linear operators: W. V. Petryshyn; Proc. Amer. Math. Soc. 16 (1965), 893-901; DOI: https://doi.org/10.1090/S0002-9939-1965-0182121-3; PDF

On differential equations of mode $2$: Johannes C. C. Nitsche; Proc. Amer. Math. Soc. 16 (1965), 902-908; DOI: https://doi.org/10.1090/S0002-9939-1965-0188602-0; PDF

An abstract formulation of some theorems on cluster sets: Ulysses Hunter; Proc. Amer. Math. Soc. 16 (1965), 909-912; DOI: https://doi.org/10.1090/S0002-9939-1965-0180682-1; PDF

On the lifting property: William F. Donoghue; Proc. Amer. Math. Soc. 16 (1965), 913-914; DOI: https://doi.org/10.1090/S0002-9939-1965-0208353-3; PDF

Inequalities and a limit theorem for certain Wiener integrals: J. Yeh; Proc. Amer. Math. Soc. 16 (1965), 915-918; DOI: https://doi.org/10.1090/S0002-9939-1965-0182709-X; PDF

The estimation of some determinants of Toeplitz-type: H. O. Pollak and L. A. Shepp; Proc. Amer. Math. Soc. 16 (1965), 919-922; DOI: https://doi.org/10.1090/S0002-9939-1965-0182633-2; PDF

A note on indefinite integrals: Mitchell H. Taibleson; Proc. Amer. Math. Soc. 16 (1965), 923-925; DOI: https://doi.org/10.1090/S0002-9939-1965-0207953-4; PDF

On a note of Marcus concerning a problem posed by Frink: Richard B. Darst and Robert E. Zink; Proc. Amer. Math. Soc. 16 (1965), 926-928; DOI: https://doi.org/10.1090/S0002-9939-1965-0180641-9; PDF

Convergence of closed subsets in a topological space: Edward G. Effros; Proc. Amer. Math. Soc. 16 (1965), 929-931; DOI: https://doi.org/10.1090/S0002-9939-1965-0181983-3; PDF

On the continuous function space of a basically disconnected space: Dwight B. Goodner; Proc. Amer. Math. Soc. 16 (1965), 932-934; DOI: https://doi.org/10.1090/S0002-9939-1965-0190795-6; PDF

Stationary sets and determining sets for certain classes of Darboux functions: A. M. Bruckner and John L. Leonard; Proc. Amer. Math. Soc. 16 (1965), 935-940; DOI: https://doi.org/10.1090/S0002-9939-1965-0183827-2; PDF

The Shilov boundary of the algebra of measures on a group: Joseph L. Taylor; Proc. Amer. Math. Soc. 16 (1965), 941-945; DOI: https://doi.org/10.1090/S0002-9939-1965-0185464-2; PDF

A representation theorem for a continuous linear transformation on a space of continuous functions: Don H. Tucker; Proc. Amer. Math. Soc. 16 (1965), 946-953; DOI: https://doi.org/10.1090/S0002-9939-1965-0199722-9; PDF

Counterexample to the Morse-Sard theorem in the case of infinite-dimensional manifolds: Ivan Kupka; Proc. Amer. Math. Soc. 16 (1965), 954-957; DOI: https://doi.org/10.1090/S0002-9939-1965-0182024-4; PDF

The degree of approximation by linear operators: Philip C. Curtis; Proc. Amer. Math. Soc. 16 (1965), 957-959; DOI: https://doi.org/10.1090/S0002-9939-1965-0193400-8; PDF

Ergodic and spectral analysis of certain infinite measure preserving transformations: William Parry; Proc. Amer. Math. Soc. 16 (1965), 960-966; DOI: https://doi.org/10.1090/S0002-9939-1965-0181737-8; PDF

A Choquet boundary for the product of two compact spaces: Marvin W. Grossman; Proc. Amer. Math. Soc. 16 (1965), 967-971; DOI: https://doi.org/10.1090/S0002-9939-1965-0180879-0; PDF

On a problem of G. E. Sacks: A. H. Lachlan; Proc. Amer. Math. Soc. 16 (1965), 972-979; DOI: https://doi.org/10.1090/S0002-9939-1965-0182560-0; PDF

The spectrum of an operator in Banach space: M. D. George; Proc. Amer. Math. Soc. 16 (1965), 980-982; DOI: https://doi.org/10.1090/S0002-9939-1965-0187088-X; PDF

An invariance theorem for representations of Banach algebras: L. Terrell Gardner; Proc. Amer. Math. Soc. 16 (1965), 983-986; DOI: https://doi.org/10.1090/S0002-9939-1965-0182890-2; PDF

On the existence of [Schauder] decompositions in Banach spaces: B. L. Sanders; Proc. Amer. Math. Soc. 16 (1965), 987-990; DOI: https://doi.org/10.1090/S0002-9939-1965-0180835-2; PDF

An approximation theorem for a class of operators: G. K. Leaf; Proc. Amer. Math. Soc. 16 (1965), 991-995; DOI: https://doi.org/10.1090/S0002-9939-1965-0182880-X; PDF

A note on normal dilations: Arnold Lebow; Proc. Amer. Math. Soc. 16 (1965), 995-998; DOI: https://doi.org/10.1090/S0002-9939-1965-0188794-3; PDF

Minkowskian distribution of discs: L. Fejes Tóth; Proc. Amer. Math. Soc. 16 (1965), 999-1004; DOI: https://doi.org/10.1090/S0002-9939-1965-0180921-7; PDF

Homology of deleted products in dimension one: Arthur H. Copeland; Proc. Amer. Math. Soc. 16 (1965), 1005-1007; DOI: https://doi.org/10.1090/S0002-9939-1965-0182968-3; PDF

On the combinatorial Schoenflies conjecture: Erhard Luft; Proc. Amer. Math. Soc. 16 (1965), 1008-1011; DOI: https://doi.org/10.1090/S0002-9939-1965-0184238-6; PDF

A note on the parallelizability of real Stiefel manifolds: David Handel; Proc. Amer. Math. Soc. 16 (1965), 1012-1014; DOI: https://doi.org/10.1090/S0002-9939-1965-0182975-0; PDF

A compact convex set in $E^{3}$ whose exposed points are of the first category: H. H. Corson; Proc. Amer. Math. Soc. 16 (1965), 1015-1021; DOI: https://doi.org/10.1090/S0002-9939-1965-0180917-5; PDF

A theorem on homotopically equivalent $(2k+1)$-manifolds: Yuen-fat Wong; Proc. Amer. Math. Soc. 16 (1965), 1022-1025; DOI: https://doi.org/10.1090/S0002-9939-1965-0193638-X; PDF

Embedding products of chainable continua: Ralph Bennett; Proc. Amer. Math. Soc. 16 (1965), 1026-1027; DOI: https://doi.org/10.1090/S0002-9939-1965-0181991-2; PDF

Nondifferentiability of retractions of $C^{n}$ to subvarieties: M. Gilmartin; Proc. Amer. Math. Soc. 16 (1965), 1028-1029; DOI: https://doi.org/10.1090/S0002-9939-1965-0193647-0; PDF

On piecewise linear immersions: Morris W. Hirsch; Proc. Amer. Math. Soc. 16 (1965), 1029-1030; DOI: https://doi.org/10.1090/S0002-9939-1965-0189050-X; PDF

A characterization of the almost periodic homeomorphisms on the closed $2$-cell: N. E. Foland; Proc. Amer. Math. Soc. 16 (1965), 1031-1034; DOI: https://doi.org/10.1090/S0002-9939-1965-0180958-8; PDF

On points of Jacobian rank $k$. II: P. T. Church; Proc. Amer. Math. Soc. 16 (1965), 1035-1038; DOI: https://doi.org/10.1090/S0002-9939-1965-0182017-7; PDF

Parallel umbilical hypersurfaces: Curtis M. Fulton; Proc. Amer. Math. Soc. 16 (1965), 1039-1041; DOI: https://doi.org/10.1090/S0002-9939-1965-0185538-6; PDF

The ring $C(X)$ determines the category of $X$: W. W. Comfort and Stelios Negrepontis; Proc. Amer. Math. Soc. 16 (1965), 1041-1045; DOI: https://doi.org/10.1090/S0002-9939-1965-0181984-5; PDF

A note on holonomy: Andrew P. Whitman and Lawrence Conlon; Proc. Amer. Math. Soc. 16 (1965), 1046-1051; DOI: https://doi.org/10.1090/S0002-9939-1965-0184168-X; PDF

On the center of the group of a link: Kunio Murasugi; Proc. Amer. Math. Soc. 16 (1965), 1052-1057; DOI: https://doi.org/10.1090/S0002-9939-1965-0185000-0; PDF

Extreme Hamiltonian circuits. Resolution of the convex-even case: Louis V. Quintas and Fred Supnick; Proc. Amer. Math. Soc. 16 (1965), 1058-1061; DOI: https://doi.org/10.1090/S0002-9939-1965-0185508-8; PDF

On the invariants of a vector subspace of a vector space over a field of characteristic two: Vera Pless; Proc. Amer. Math. Soc. 16 (1965), 1062-1067; DOI: https://doi.org/10.1090/S0002-9939-1965-0182627-7; PDF

Characterization of totally unimodular matrices: Paul Camion; Proc. Amer. Math. Soc. 16 (1965), 1068-1073; DOI: https://doi.org/10.1090/S0002-9939-1965-0180568-2; PDF

Prime rings with maximal annihilator and maximal complement right ideals: Kwangil Koh and A. C. Mewborn; Proc. Amer. Math. Soc. 16 (1965), 1073-1076; DOI: https://doi.org/10.1090/S0002-9939-1965-0219573-6; PDF

Analytic functions in Banach spaces: E. F. Whittlesey; Proc. Amer. Math. Soc. 16 (1965), 1077-1083; DOI: https://doi.org/10.1090/S0002-9939-1965-0184092-2; PDF

Maximal quotient rings: Carl Faith and Yuzo Utumi; Proc. Amer. Math. Soc. 16 (1965), 1084-1089; DOI: https://doi.org/10.1090/S0002-9939-1965-0182642-3; PDF

The Schnirelmann density of the $k$-free integers: R. L. Duncan; Proc. Amer. Math. Soc. 16 (1965), 1090-1091; DOI: https://doi.org/10.1090/S0002-9939-1965-0186652-1; PDF

On a problem connected with the Vandermonde determinant: J. Kiefer and J. Wolfowitz; Proc. Amer. Math. Soc. 16 (1965), 1092-1095; DOI: https://doi.org/10.1090/S0002-9939-1965-0182632-0; PDF

Reflexive semigroups: R. O. Fulp and Paul Hill; Proc. Amer. Math. Soc. 16 (1965), 1096-1098; DOI: https://doi.org/10.1090/S0002-9939-1965-0182665-4; PDF

Prime matrix rings: R. E. Johnson; Proc. Amer. Math. Soc. 16 (1965), 1099-1105; DOI: https://doi.org/10.1090/S0002-9939-1965-0182640-X; PDF

Powers in eighth-groups: Seymour Lipschutz; Proc. Amer. Math. Soc. 16 (1965), 1105-1106; DOI: https://doi.org/10.1090/S0002-9939-1965-0181667-1; PDF

On a class of Lie algebras: Robert H. Oehmke; Proc. Amer. Math. Soc. 16 (1965), 1107-1113; DOI: https://doi.org/10.1090/S0002-9939-1965-0191930-6; PDF

Commutative algebras satisfying an identity of degree four: J. Marshall Osborn; Proc. Amer. Math. Soc. 16 (1965), 1114-1120; DOI: https://doi.org/10.1090/S0002-9939-1965-0184980-7; PDF

Some properties of localization and normalization: Joseph Lipman; Proc. Amer. Math. Soc. 16 (1965), 1120-1122; DOI: https://doi.org/10.1090/S0002-9939-1965-0180574-8; PDF

Symmetry for the enveloping algebra of a restricted Lie algebra: John R. Schue; Proc. Amer. Math. Soc. 16 (1965), 1123-1124; DOI: https://doi.org/10.1090/S0002-9939-1965-0185045-0; PDF

Representations of Lie algebras by normal operators: Thomas Sherman; Proc. Amer. Math. Soc. 16 (1965), 1125-1129; DOI: https://doi.org/10.1090/S0002-9939-1965-0183817-X; PDF

A note on a theorem of I. Niven: William J. Leahey; Proc. Amer. Math. Soc. 16 (1965), 1130-1131; DOI: https://doi.org/10.1090/S0002-9939-1965-0181632-4; PDF

A matrix version of Rennie’s generalization of Kantorovich’s inequality: B. Mond; Proc. Amer. Math. Soc. 16 (1965), 1131; DOI: https://doi.org/10.1090/S0002-9939-1965-0180561-X; PDF

Note on a property of the elementary symmetric functions: J. N. Darroch and Jane Pitman; Proc. Amer. Math. Soc. 16 (1965), 1132-1133; DOI: https://doi.org/10.1090/S0002-9939-1965-0182621-6; PDF

A note on addition chains: C. T. Whyburn; Proc. Amer. Math. Soc. 16 (1965), 1134; DOI: https://doi.org/10.1090/S0002-9939-1965-0180517-7; PDF