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 6
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The summation of certain series of infinite regressive isols: F. J. Sansone; Proc. Amer. Math. Soc. 16 (1965), 1135-1140; DOI: https://doi.org/10.1090/S0002-9939-1965-0225650-6; PDF

Some theorems on the Fourier analysis of positive definite functions: L. Schmetterer; Proc. Amer. Math. Soc. 16 (1965), 1141-1146; DOI: https://doi.org/10.1090/S0002-9939-1965-0200674-3; PDF

A note on the Hausdorff moment problem: C. W. Leininger; Proc. Amer. Math. Soc. 16 (1965), 1146-1147; DOI: https://doi.org/10.1090/S0002-9939-1965-0184043-0; PDF

A note on the two cardinal problem: C. C. Chang; Proc. Amer. Math. Soc. 16 (1965), 1148-1155; DOI: https://doi.org/10.1090/S0002-9939-1965-0193016-3; PDF

A remark on Wiener’s Tauberian theorem: M. Kac; Proc. Amer. Math. Soc. 16 (1965), 1155-1157; DOI: https://doi.org/10.1090/S0002-9939-1965-0185320-X; PDF

Exact probability distribution functions of some Rényi type statistics: Miklós Csörgő; Proc. Amer. Math. Soc. 16 (1965), 1158-1167; DOI: https://doi.org/10.1090/S0002-9939-1965-0214178-5; PDF

Banach algebras of scalar-type elements: Bertram Walsh; Proc. Amer. Math. Soc. 16 (1965), 1167-1170; DOI: https://doi.org/10.1090/S0002-9939-1965-0187109-4; PDF

On the de la Vallée Poussin derivative: C. Kassimatis; Proc. Amer. Math. Soc. 16 (1965), 1171-1172; DOI: https://doi.org/10.1090/S0002-9939-1965-0186764-2; PDF

A probability bound for integrals with respect to stochastic processes with independent increments: D. L. Hanson and L. H. Koopmans; Proc. Amer. Math. Soc. 16 (1965), 1173-1177; DOI: https://doi.org/10.1090/S0002-9939-1965-0184281-7; PDF

Echelon spaces of order $\infty$: E. Dubinsky; Proc. Amer. Math. Soc. 16 (1965), 1178-1183; DOI: https://doi.org/10.1090/S0002-9939-1965-0185428-9; PDF

On extreme points of the numerical range of normal operators: C. R. MacCluer; Proc. Amer. Math. Soc. 16 (1965), 1183-1184; DOI: https://doi.org/10.1090/S0002-9939-1965-0190764-6; PDF

On the mean modulus of trigonometric polynomials whose coefficients have random signs: S. Uchiyama; Proc. Amer. Math. Soc. 16 (1965), 1185-1190; DOI: https://doi.org/10.1090/S0002-9939-1965-0185362-4; PDF

Orthogonal expansions with positive coefficients: Richard Askey; Proc. Amer. Math. Soc. 16 (1965), 1191-1194; DOI: https://doi.org/10.1090/S0002-9939-1965-0185331-4; PDF

Iterated $w^{\ast }$-sequential closure of a Banach space in its second conjugate: R. D. McWilliams; Proc. Amer. Math. Soc. 16 (1965), 1195-1199; DOI: https://doi.org/10.1090/S0002-9939-1965-0184068-5; PDF

Inner and outer functions on Riemann surfaces: Michael Voichick and Lawrence Zalcman; Proc. Amer. Math. Soc. 16 (1965), 1200-1204; DOI: https://doi.org/10.1090/S0002-9939-1965-0183883-1; PDF

Differentiability almost everywhere: C. J. Neugebauer; Proc. Amer. Math. Soc. 16 (1965), 1205-1210; DOI: https://doi.org/10.1090/S0002-9939-1965-0186767-8; PDF

Commutators with powers of an unbounded operator in Hilbert space: Felix E. Browder; Proc. Amer. Math. Soc. 16 (1965), 1211-1213; DOI: https://doi.org/10.1090/S0002-9939-1965-0185435-6; PDF

Proof of some conjectures on cohomological dimension: James Ax; Proc. Amer. Math. Soc. 16 (1965), 1214-1221; DOI: https://doi.org/10.1090/S0002-9939-1965-0188263-0; PDF

Homeomorphic conjugacy of automorphisms on the torus: R. L. Adler and R. Palais; Proc. Amer. Math. Soc. 16 (1965), 1222-1225; DOI: https://doi.org/10.1090/S0002-9939-1965-0193181-8; PDF

Invertible solutions to the operator equation $TA-BT=C$: David G. Luenberger; Proc. Amer. Math. Soc. 16 (1965), 1226-1229; DOI: https://doi.org/10.1090/S0002-9939-1965-0184088-0; PDF

An account of the theory of crystallographic groups: Louis Auslander; Proc. Amer. Math. Soc. 16 (1965), 1230-1236; DOI: https://doi.org/10.1090/S0002-9939-1965-0185012-7; PDF

Extension of normal families of holomorphic functions: Theodore J. Barth; Proc. Amer. Math. Soc. 16 (1965), 1236-1238; DOI: https://doi.org/10.1090/S0002-9939-1965-0193267-8; PDF

Adjoint linear differential operators: Anton Zettl; Proc. Amer. Math. Soc. 16 (1965), 1239-1241; DOI: https://doi.org/10.1090/S0002-9939-1965-0183920-4; PDF

Lower bounds for solutions of differential inequalities in Hilbert space: Hajimu Ogawa; Proc. Amer. Math. Soc. 16 (1965), 1241-1243; DOI: https://doi.org/10.1090/S0002-9939-1965-0185291-6; PDF

A Hölder type inequality for symmetric matrices with nonnegative entries: G. R. Blakley and Prabir Roy; Proc. Amer. Math. Soc. 16 (1965), 1244-1245; DOI: https://doi.org/10.1090/S0002-9939-1965-0184950-9; PDF

Fourier cosine transforms whose real parts are non-negative in a strip: D. V. Widder; Proc. Amer. Math. Soc. 16 (1965), 1246-1252; DOI: https://doi.org/10.1090/S0002-9939-1965-0184031-4; PDF

Some remarks on boundary value problems: R. S. Freeman; Proc. Amer. Math. Soc. 16 (1965), 1253-1255; DOI: https://doi.org/10.1090/S0002-9939-1965-0185290-4; PDF

A general convergence criterion for continued fractions $K(a_{n}/b_{n})$: K. L. Hillam and W. J. Thron; Proc. Amer. Math. Soc. 16 (1965), 1256-1262; DOI: https://doi.org/10.1090/S0002-9939-1965-0193393-3; PDF

Smootheness of functions generated by Riesz products: Peter L. Duren; Proc. Amer. Math. Soc. 16 (1965), 1263-1268; DOI: https://doi.org/10.1090/S0002-9939-1965-0185057-7; PDF

The rapidity of convergence of the Hermite-Fejér approximation to functions of one or several variables: O. Shisha and B. Mond; Proc. Amer. Math. Soc. 16 (1965), 1269-1276; DOI: https://doi.org/10.1090/S0002-9939-1965-0198062-1; PDF

A note on means of entire functions: T. V. Lakshminarasimhan; Proc. Amer. Math. Soc. 16 (1965), 1277-1279; DOI: https://doi.org/10.1090/S0002-9939-1965-0186816-7; PDF

Translations of the image domains of analytic functions: Thomas H. MacGregor; Proc. Amer. Math. Soc. 16 (1965), 1280-1286; DOI: https://doi.org/10.1090/S0002-9939-1965-0194600-3; PDF

An $L^{1}$ extremal problem for polynomials: D. J. Newman; Proc. Amer. Math. Soc. 16 (1965), 1287-1290; DOI: https://doi.org/10.1090/S0002-9939-1965-0185119-4; PDF

Mass continuous cochains are differential forms: F. J. Almgren; Proc. Amer. Math. Soc. 16 (1965), 1291-1294; DOI: https://doi.org/10.1090/S0002-9939-1965-0205208-5; PDF

On the asymptotic behavior of solutions of the differential equation $y^{”}+p(x)y=0$: A. C. Lazer; Proc. Amer. Math. Soc. 16 (1965), 1295-1298; DOI: https://doi.org/10.1090/S0002-9939-1965-0186867-2; PDF

On Bergman’s kernel function for some uniformly elliptic partial differential equations: G. G. Weill; Proc. Amer. Math. Soc. 16 (1965), 1299-1304; DOI: https://doi.org/10.1090/S0002-9939-1965-0188600-7; PDF

Local convexity and $L_{n}$ sets: F. A. Valentine; Proc. Amer. Math. Soc. 16 (1965), 1305-1310; DOI: https://doi.org/10.1090/S0002-9939-1965-0185510-6; PDF

A condition for finite dimensional convexity: D. G. Bourgin; Proc. Amer. Math. Soc. 16 (1965), 1311-1312; DOI: https://doi.org/10.1090/S0002-9939-1965-0184137-X; PDF

A universal snake-like continuum: Richard M. Schori; Proc. Amer. Math. Soc. 16 (1965), 1313-1316; DOI: https://doi.org/10.1090/S0002-9939-1965-0184209-X; PDF

A note on countably paracompact spaces and metrization: C. E. Aull; Proc. Amer. Math. Soc. 16 (1965), 1316-1317; DOI: https://doi.org/10.1090/S0002-9939-1965-0185575-1; PDF

Some characterizations of semi-locally connected spaces: Yu-Lee Lee; Proc. Amer. Math. Soc. 16 (1965), 1318-1320; DOI: https://doi.org/10.1090/S0002-9939-1965-0188968-1; PDF

A technique for constructing examples: Mary Ellen Rudin; Proc. Amer. Math. Soc. 16 (1965), 1320-1323; DOI: https://doi.org/10.1090/S0002-9939-1965-0188976-0; PDF

On dense subspaces of Moore spaces: Ben Fitzpatrick; Proc. Amer. Math. Soc. 16 (1965), 1324-1328; DOI: https://doi.org/10.1090/S0002-9939-1965-0184190-3; PDF

A remark on the existence of a $G$-structure: Edward T. Kobayashi; Proc. Amer. Math. Soc. 16 (1965), 1329-1331; DOI: https://doi.org/10.1090/S0002-9939-1965-0211354-2; PDF

A note on a reducible continuum: E. L. Bethel; Proc. Amer. Math. Soc. 16 (1965), 1331-1333; DOI: https://doi.org/10.1090/S0002-9939-1965-0196719-X; PDF

Cellularity at the boundary of a manifold: Charles Greathouse; Proc. Amer. Math. Soc. 16 (1965), 1334-1341; DOI: https://doi.org/10.1090/S0002-9939-1965-0190935-9; PDF

Nonsingular path fields on compact topological manifolds: Robert F. Brown and Edward Fadell; Proc. Amer. Math. Soc. 16 (1965), 1342-1349; DOI: https://doi.org/10.1090/S0002-9939-1965-0184236-2; PDF

Lie groups and products of spheres: P. G. Kumpel; Proc. Amer. Math. Soc. 16 (1965), 1350-1356; DOI: https://doi.org/10.1090/S0002-9939-1965-0185037-1; PDF

Contractible complexes in $S^{n}$: Leslie C. Glaser; Proc. Amer. Math. Soc. 16 (1965), 1357-1364; DOI: https://doi.org/10.1090/S0002-9939-1965-0184240-4; PDF

Hilbert manifolds without epiconjugate points: Nathaniel Grossman; Proc. Amer. Math. Soc. 16 (1965), 1365-1371; DOI: https://doi.org/10.1090/S0002-9939-1965-0188943-7; PDF

A remark concerning quasi-Frobenius rings: E. A. Rutter; Proc. Amer. Math. Soc. 16 (1965), 1372-1373; DOI: https://doi.org/10.1090/S0002-9939-1965-0183746-1; PDF

On the subgroups of the Picard group: Hermann V. Waldinger; Proc. Amer. Math. Soc. 16 (1965), 1373-1378; DOI: https://doi.org/10.1090/S0002-9939-1965-0190234-5; PDF

A cohomology theory for commutative algebras. I: Michael Barr; Proc. Amer. Math. Soc. 16 (1965), 1379-1384; DOI: https://doi.org/10.1090/S0002-9939-1965-0193119-3; PDF

A cohomology theory for commutative algebras. II: Michael Barr; Proc. Amer. Math. Soc. 16 (1965), 1385-1391; DOI: https://doi.org/10.1090/S0002-9939-1965-99008-1; PDF

On partially ordered groups satisfying the Riesz interpolation property: J. Roger Teller; Proc. Amer. Math. Soc. 16 (1965), 1392-1400; DOI: https://doi.org/10.1090/S0002-9939-1965-0188310-6; PDF

On flat extensions of Noetherian rings: Birger Iversen; Proc. Amer. Math. Soc. 16 (1965), 1401-1406; DOI: https://doi.org/10.1090/S0002-9939-1965-0197493-3; PDF

A counterexample in differential algebra: George M. Bergman; Proc. Amer. Math. Soc. 16 (1965), 1407-1409; DOI: https://doi.org/10.1090/S0002-9939-1965-0186670-3; PDF

On the characteristic roots of matrices: Douglas E. Crabtree; Proc. Amer. Math. Soc. 16 (1965), 1410-1413; DOI: https://doi.org/10.1090/S0002-9939-1965-0188225-3; PDF

Three results for locally compact groups connected with Haar measure density theorem: Bruno J. Mueller; Proc. Amer. Math. Soc. 16 (1965), 1414-1416; DOI: https://doi.org/10.1090/S0002-9939-1965-0200385-4; PDF

Errata to: On a realization of a complemented algebra: P. P. Saworotnow; Proc. Amer. Math. Soc. 16 (1965), 1417; DOI: https://doi.org/10.1090/S0002-9939-1965-0184097-1; PDF

Errata to: Multiple transitivity of primitive permutation groups: L. A. Machtinger; Proc. Amer. Math. Soc. 16 (1965), 1417; DOI: https://doi.org/10.1090/S0002-9939-1965-0184995-9; PDF