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 54, Number 1
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The resultant of several homogeneous polynomials in two indeterminates
Kunio Kakié
Proc. Amer. Math. Soc. 54 (1976), 1-7
DOI: https://doi.org/10.1090/S0002-9939-1976-0387256-5
Some sufficient conditions for quintic residuacity
Yun Cheng Zee
Proc. Amer. Math. Soc. 54 (1976), 8-10
DOI: https://doi.org/10.1090/S0002-9939-1976-0389731-6
On Arnold’s formula for the dimension of a polynomial ring
Paul Eakin
Proc. Amer. Math. Soc. 54 (1976), 11-15
DOI: https://doi.org/10.1090/S0002-9939-1976-0387270-X
The automorphisms of $O^{+}_{4}$ $(V)$ in the anisotropic case
Edward A. Connors
Proc. Amer. Math. Soc. 54 (1976), 16-18
DOI: https://doi.org/10.1090/S0002-9939-1976-0389766-3
Conjugate powers in HNN groups
Michael Anshel
Proc. Amer. Math. Soc. 54 (1976), 19-23
DOI: https://doi.org/10.1090/S0002-9939-1976-0393249-4
A property of groups of non-exponential growth
Shmuel Rosset
Proc. Amer. Math. Soc. 54 (1976), 24-26
DOI: https://doi.org/10.1090/S0002-9939-1976-0387420-5
Completely decomposable flat modules over locally factorial domains
E. L. Lady
Proc. Amer. Math. Soc. 54 (1976), 27-31
DOI: https://doi.org/10.1090/S0002-9939-1976-0387265-6
The devil and the angel of loops
Leong Fook
Proc. Amer. Math. Soc. 54 (1976), 32-34
DOI: https://doi.org/10.1090/S0002-9939-1976-0390114-3
On going-down for simple overrings. III
David E. Dobbs and Ira J. Papick
Proc. Amer. Math. Soc. 54 (1976), 35-38
DOI: https://doi.org/10.1090/S0002-9939-1976-0417153-8
On rings whose left modules are direct sums of finitely generated modules
Kent R. Fuller
Proc. Amer. Math. Soc. 54 (1976), 39-44
DOI: https://doi.org/10.1090/S0002-9939-1976-0393133-6
A refinement of Green’s theorem on the defect group of a $P$-block
T. Y. Lam
Proc. Amer. Math. Soc. 54 (1976), 45-48
DOI: https://doi.org/10.1090/S0002-9939-1976-0387397-2
Maximal ideal transforms of Noetherian rings
Jacob R. Matijevic
Proc. Amer. Math. Soc. 54 (1976), 49-52
DOI: https://doi.org/10.1090/S0002-9939-1976-0387269-3
A simple proof of the Zolotareff-Frobenius theorem
Robert E. Dressler and Ernest E. Shult
Proc. Amer. Math. Soc. 54 (1976), 53-54
DOI: https://doi.org/10.1090/S0002-9939-1976-0389732-8
A theorem on nilpotent groups with restricted embeddings
Karl H. Wehrhahn
Proc. Amer. Math. Soc. 54 (1976), 55-56
DOI: https://doi.org/10.1090/S0002-9939-1976-0387405-9
Residual solvability of an equation in nilpotent groups
Peter F. Stebe
Proc. Amer. Math. Soc. 54 (1976), 57-58
DOI: https://doi.org/10.1090/S0002-9939-1976-0387410-2
Coherence of polynomial rings
B. V. Greenberg and W. V. Vasconcelos
Proc. Amer. Math. Soc. 54 (1976), 59-64
DOI: https://doi.org/10.1090/S0002-9939-1976-0417164-2
Homological dimension of abelian groups over their endomorphism rings
Fred Richman and Elbert A. Walker
Proc. Amer. Math. Soc. 54 (1976), 65-68
DOI: https://doi.org/10.1090/S0002-9939-1976-0393279-2
Solutions of linear differential equations in function fields of one variable
Michael F. Singer
Proc. Amer. Math. Soc. 54 (1976), 69-72
DOI: https://doi.org/10.1090/S0002-9939-1976-0387260-7
Bounds for solutions to ordinary differential equations applied to a singular Cauchy problem
W. J. Walker
Proc. Amer. Math. Soc. 54 (1976), 73-79
DOI: https://doi.org/10.1090/S0002-9939-1976-0463719-9
Inverse theorems for functions in $L_{p}$ and other spaces
Z. Ditzian
Proc. Amer. Math. Soc. 54 (1976), 80-82
DOI: https://doi.org/10.1090/S0002-9939-1976-0393958-7
Banach lattice structures on separable $L_{p}$ spaces
E. Lacey and P. Wojtaszczyk
Proc. Amer. Math. Soc. 54 (1976), 83-89
DOI: https://doi.org/10.1090/S0002-9939-1976-0390743-7
Certain multiple valued harmonic function
L. A. Caffarelli
Proc. Amer. Math. Soc. 54 (1976), 90-92
DOI: https://doi.org/10.1090/S0002-9939-1976-0387623-X
Approximation to fixed points of generalized nonexpansive mappings
Chi Song Wong
Proc. Amer. Math. Soc. 54 (1976), 93-97
DOI: https://doi.org/10.1090/S0002-9939-1976-0390850-9
Simultaneous spline approximation and interpolation preserving norms
C. K. Chui, E. R. Rozema, P. W. Smith and J. D. Ward
Proc. Amer. Math. Soc. 54 (1976), 98-100
DOI: https://doi.org/10.1090/S0002-9939-1976-0387917-8
On $L^{1}$ convergence of certain cosine sums
John W. Garrett and Časlav V. Stanojević
Proc. Amer. Math. Soc. 54 (1976), 101-105
DOI: https://doi.org/10.1090/S0002-9939-1976-0394002-8
Diagonalizable normal operators
J. P. Williams
Proc. Amer. Math. Soc. 54 (1976), 106-108
DOI: https://doi.org/10.1090/S0002-9939-1976-0397467-0
Another view of the Weierstrass theorem
Kenneth John Preskenis
Proc. Amer. Math. Soc. 54 (1976), 109-113
DOI: https://doi.org/10.1090/S0002-9939-1976-0390779-6
A new proof for an inequality of Jenkins
George B. Leeman
Proc. Amer. Math. Soc. 54 (1976), 114-116
DOI: https://doi.org/10.1090/S0002-9939-1976-0393457-2
A note on commutators and singular integrals
Paul S. Muhly
Proc. Amer. Math. Soc. 54 (1976), 117-121
DOI: https://doi.org/10.1090/S0002-9939-1976-0394286-6
The set where an approximate derivative is a derivative
Richard J. O’Malley
Proc. Amer. Math. Soc. 54 (1976), 122-124
DOI: https://doi.org/10.1090/S0002-9939-1976-0390143-X
An ergodic theorem for noncommutative operators
Takeshi Yoshimoto
Proc. Amer. Math. Soc. 54 (1976), 125-129
DOI: https://doi.org/10.1090/S0002-9939-1976-0407625-4
On the behavior of meromorphic functions at the ideal boundary of a Riemann surface
J. L. Schiff
Proc. Amer. Math. Soc. 54 (1976), 130-132
DOI: https://doi.org/10.1090/S0002-9939-1976-0390209-4
Idempotent maximal ideals and independent sets
Colin C. Graham
Proc. Amer. Math. Soc. 54 (1976), 133-137
DOI: https://doi.org/10.1090/S0002-9939-1976-0390645-6
Unitaries and partial isometries in a real $W^*$-algebra
Kenneth E. Ekman
Proc. Amer. Math. Soc. 54 (1976), 138-140
DOI: https://doi.org/10.1090/S0002-9939-1976-0454660-6
Induced automorphisms and simple approximations
Geoffrey R. Goodson
Proc. Amer. Math. Soc. 54 (1976), 141-145
DOI: https://doi.org/10.1090/S0002-9939-1976-0390171-4
Harmonic analysis of harmonic functions in the plane
L. A. Rubel
Proc. Amer. Math. Soc. 54 (1976), 146-148
DOI: https://doi.org/10.1090/S0002-9939-1976-0390216-1
Some remarks on uniqueness for a class of singular abstract Cauchy problems
James A. Donaldson and Jerome A. Goldstein
Proc. Amer. Math. Soc. 54 (1976), 149-153
DOI: https://doi.org/10.1090/S0002-9939-1976-0390408-1
Projective extensions of Banach algebras
Andy R. Magid
Proc. Amer. Math. Soc. 54 (1976), 154-156
DOI: https://doi.org/10.1090/S0002-9939-1976-0407606-0
Multipliers of Segal algebras
U. B. Tewari
Proc. Amer. Math. Soc. 54 (1976), 157-161
DOI: https://doi.org/10.1090/S0002-9939-1976-0447976-0
Anticonformal automorphisms of compact Riemann surfaces
Robert Zarrow
Proc. Amer. Math. Soc. 54 (1976), 162-164
DOI: https://doi.org/10.1090/S0002-9939-1976-0404612-7
The commutants of certain analytic Toeplitz operators
James E. Thomson
Proc. Amer. Math. Soc. 54 (1976), 165-169
DOI: https://doi.org/10.1090/S0002-9939-1976-0388156-7
Connectivity of an interval
Mark Mandelker
Proc. Amer. Math. Soc. 54 (1976), 170-172
DOI: https://doi.org/10.1090/S0002-9939-1976-0390140-4
$p$-Helson sets
Daniel M. Oberlin
Proc. Amer. Math. Soc. 54 (1976), 173-175
DOI: https://doi.org/10.1090/S0002-9939-1976-0420152-3
A refinement for coefficient estimates of univalent functions
David Horowitz
Proc. Amer. Math. Soc. 54 (1976), 176-178
DOI: https://doi.org/10.1090/S0002-9939-1976-0396932-X
Some vector bundles on Jacobian varieties
George R. Kempf
Proc. Amer. Math. Soc. 54 (1976), 179-180
DOI: https://doi.org/10.1090/S0002-9939-1976-0390302-6
A property of the periods of a Prym differential
George Kempf
Proc. Amer. Math. Soc. 54 (1976), 181-184
DOI: https://doi.org/10.1090/S0002-9939-1976-0402124-8
On upper gauge density
H. W. Pu and H. H. Pu
Proc. Amer. Math. Soc. 54 (1976), 185-188
DOI: https://doi.org/10.1090/S0002-9939-1976-0390155-6
A characterization of discreteness for locally compact groups in terms of the Banach algebras $A_{p}(G)$
Edmond E. Granirer
Proc. Amer. Math. Soc. 54 (1976), 189-192
DOI: https://doi.org/10.1090/S0002-9939-1976-0387954-3
Extremal and monogenic additive set functions
Detlef Plachky
Proc. Amer. Math. Soc. 54 (1976), 193-196
DOI: https://doi.org/10.1090/S0002-9939-1976-0419711-3
A geometric property of certain plane sets
Kenneth Pietz
Proc. Amer. Math. Soc. 54 (1976), 197-200
DOI: https://doi.org/10.1090/S0002-9939-1976-0393429-8
A coefficient estimate for multivalent functions
David J. Hallenbeck and Albert E. Livingston
Proc. Amer. Math. Soc. 54 (1976), 201-206
DOI: https://doi.org/10.1090/S0002-9939-1976-0387561-2
A uniformly convex Banach space with a Schauder basis which is subsymmetric but not symmetric
Lakhpat R. Pujara
Proc. Amer. Math. Soc. 54 (1976), 207-210
DOI: https://doi.org/10.1090/S0002-9939-1976-0402472-1
A nonlinear generalization of Bihari’s inequality
U. D. Dhongade and S. G. Deo
Proc. Amer. Math. Soc. 54 (1976), 211-216
DOI: https://doi.org/10.1090/S0002-9939-1976-0430694-2
The starlike radius for classes of regular bounded functions
Robert W. Sanders
Proc. Amer. Math. Soc. 54 (1976), 217-220
DOI: https://doi.org/10.1090/S0002-9939-1976-0390201-X
Extensions of monotone operator functions
J. D. Chandler
Proc. Amer. Math. Soc. 54 (1976), 221-224
DOI: https://doi.org/10.1090/S0002-9939-1976-0394271-4
Asymptotic stability for abstract nonlinear functional differential equations
G. F. Webb
Proc. Amer. Math. Soc. 54 (1976), 225-230
DOI: https://doi.org/10.1090/S0002-9939-1976-0402237-0
An abelian ergodic theorem for semigroups in $L_{p}$ space
S. A. McGrath
Proc. Amer. Math. Soc. 54 (1976), 231-236
DOI: https://doi.org/10.1090/S0002-9939-1976-0394250-7
On the symmetry of matrix algebras
Josef Wichmann
Proc. Amer. Math. Soc. 54 (1976), 237-240
DOI: https://doi.org/10.1090/S0002-9939-1976-0388110-5
Holomorphic mappings between balls and polydiscs
R. R. Simha
Proc. Amer. Math. Soc. 54 (1976), 241-242
DOI: https://doi.org/10.1090/S0002-9939-1976-0402100-5
A characterization of $B$-slowly varying functions
Steven Bloom
Proc. Amer. Math. Soc. 54 (1976), 243-250
DOI: https://doi.org/10.1090/S0002-9939-1976-0393375-X
Rational Chebyshev approximation to certain entire functions of zero order on the positive real axis. II
A. R. Reddy
Proc. Amer. Math. Soc. 54 (1976), 251-254
DOI: https://doi.org/10.1090/S0002-9939-1976-0430260-9
A factorization of the direct limit of Hilbert cubes
Richard E. Heisey
Proc. Amer. Math. Soc. 54 (1976), 255-260
DOI: https://doi.org/10.1090/S0002-9939-1976-0418102-9
Submanifolds of a Riemannian manifold with semisymmetric metric connections
Zensho Nakao
Proc. Amer. Math. Soc. 54 (1976), 261-266
DOI: https://doi.org/10.1090/S0002-9939-1976-0445416-9
Positive sectional curvatures does not imply positive Gauss-Bonnet integrand
Robert Geroch
Proc. Amer. Math. Soc. 54 (1976), 267-270
DOI: https://doi.org/10.1090/S0002-9939-1976-0390961-8
Curvature groups of a hypersurface
Samuel I. Goldberg
Proc. Amer. Math. Soc. 54 (1976), 271-275
DOI: https://doi.org/10.1090/S0002-9939-1976-0397624-3
A theorem on $C$-totally real minimal surface
Seiichi Yamaguchi, Masahiro Kon and Yasushi Miyahara
Proc. Amer. Math. Soc. 54 (1976), 276-280
DOI: https://doi.org/10.1090/S0002-9939-1976-0402654-9
Isometry groups of manifolds of negative curvature
W. Byers
Proc. Amer. Math. Soc. 54 (1976), 281-285
DOI: https://doi.org/10.1090/S0002-9939-1976-0390960-6
Tietze-type theorems on monotone increasing sets
Jean Chan Stanek
Proc. Amer. Math. Soc. 54 (1976), 286-290
DOI: https://doi.org/10.1090/S0002-9939-1976-0388244-5
Countably generated families
R. Daniel Mauldin
Proc. Amer. Math. Soc. 54 (1976), 291-297
DOI: https://doi.org/10.1090/S0002-9939-1976-0439639-2
Clopen sets in hyperspaces
Paul Bankston
Proc. Amer. Math. Soc. 54 (1976), 298-302
DOI: https://doi.org/10.1090/S0002-9939-1976-0405332-5
Determinateness and partitions
Karel Prikry
Proc. Amer. Math. Soc. 54 (1976), 303-306
DOI: https://doi.org/10.1090/S0002-9939-1976-0453540-X
On models $\equiv _{\infty \omega }$ to an uncountable model
Mark Nadel
Proc. Amer. Math. Soc. 54 (1976), 307-310
DOI: https://doi.org/10.1090/S0002-9939-1976-0392556-9
Recursiveness in $P^1_1$ paths through $\mathcal {O}$
Harvey Friedman
Proc. Amer. Math. Soc. 54 (1976), 311-315
DOI: https://doi.org/10.1090/S0002-9939-1976-0398812-2
On a formula in diffusion processes in population genetics
Charles J. Holland
Proc. Amer. Math. Soc. 54 (1976), 316-318
DOI: https://doi.org/10.1090/S0002-9939-1976-0405609-3
Quadratic zero-one laws for Gaussian measures and the distribution of quadratic forms
Alejandro de Acosta
Proc. Amer. Math. Soc. 54 (1976), 319-325
DOI: https://doi.org/10.1090/S0002-9939-1976-0405524-5
Processes with infinitely many jumping particles
Wayne G. Sullivan
Proc. Amer. Math. Soc. 54 (1976), 326-330
DOI: https://doi.org/10.1090/S0002-9939-1976-0394940-6
Inequalities for $\max |S_k|/b_k$ where $k \in N^r$
Galen R. Shorack and R. T. Smythe
Proc. Amer. Math. Soc. 54 (1976), 331-336
DOI: https://doi.org/10.1090/S0002-9939-1976-0400386-4
A Markov process which gives rise to a semigroup of expansive operators
T. F. Lin
Proc. Amer. Math. Soc. 54 (1976), 337-341
DOI: https://doi.org/10.1090/S0002-9939-1976-0410951-6
Some applications of Landweber-Novikov operations
David M. Segal
Proc. Amer. Math. Soc. 54 (1976), 342-344
DOI: https://doi.org/10.1090/S0002-9939-1976-0388419-5
$(\textrm {CA})$ topological groups
David Zerling
Proc. Amer. Math. Soc. 54 (1976), 345-351
DOI: https://doi.org/10.1090/S0002-9939-1976-0412337-7
Center of mass and $G$-local triviality of $G$-bundles
Karsten Grove
Proc. Amer. Math. Soc. 54 (1976), 352-354
DOI: https://doi.org/10.1090/S0002-9939-1976-0394712-2
Extensions of continuous functions from dense subspaces
Robert L. Blair
Proc. Amer. Math. Soc. 54 (1976), 355-359
DOI: https://doi.org/10.1090/S0002-9939-1976-0390999-0
A remark on Whitney’s proof of de Rham’s theorem
Józef Dodziuk
Proc. Amer. Math. Soc. 54 (1976), 360-362
DOI: https://doi.org/10.1090/S0002-9939-1976-0397762-5
Some metrization theorems
H. H. Hung
Proc. Amer. Math. Soc. 54 (1976), 363-367
DOI: https://doi.org/10.1090/S0002-9939-1976-0405365-9
Decomposition of $C^{\infty }$ intertwining operators for Lie groups
R. Penney
Proc. Amer. Math. Soc. 54 (1976), 368-370
DOI: https://doi.org/10.1090/S0002-9939-1976-0404531-6
Products of sequential spaces
Yoshio Tanaka
Proc. Amer. Math. Soc. 54 (1976), 371-375
DOI: https://doi.org/10.1090/S0002-9939-1976-0397665-6
Any unitary principal series representation of $(GL)_{n}$ over a $p$-adic field is irreducible
Roger Howe and Allan Silberger
Proc. Amer. Math. Soc. 54 (1976), 376-378
DOI: https://doi.org/10.1090/S0002-9939-1976-0422521-4
Generalized Morse sequences on $n$ symbols
John C. Martin
Proc. Amer. Math. Soc. 54 (1976), 379-383
DOI: https://doi.org/10.1090/S0002-9939-1976-0391058-3
Equivalence of certain discontinuous functions under closure
Maurice Hugh Miller
Proc. Amer. Math. Soc. 54 (1976), 384-388
DOI: https://doi.org/10.1090/S0002-9939-1976-0390142-8
Applications of intersection theory
Richard Goldstein and Edward C. Turner
Proc. Amer. Math. Soc. 54 (1976), 389-390
DOI: https://doi.org/10.1090/S0002-9939-1976-0397718-2
Fixed points of automorphisms
A. W. Currier
Proc. Amer. Math. Soc. 54 (1976), 391-392
DOI: https://doi.org/10.1090/S0002-9939-1976-0405467-7
Semigroup of operators on dual Banach spaces
Anthony To Ming Lau
Proc. Amer. Math. Soc. 54 (1976), 393-396
DOI: https://doi.org/10.1090/S0002-9939-1976-0493507-9
Large basis dimension and metrizability
Gary Gruenhage
Proc. Amer. Math. Soc. 54 (1976), 397-400
DOI: https://doi.org/10.1090/S0002-9939-1976-0394586-X
On compactness and sequential compactness
Norman Levine
Proc. Amer. Math. Soc. 54 (1976), 401-402
DOI: https://doi.org/10.1090/S0002-9939-1976-0405357-X
A remark on derivations and skew-derivations on $\mathcal {D}(M)$
Tsuneo Suguri
Proc. Amer. Math. Soc. 54 (1976), 403-404
DOI: https://doi.org/10.1090/S0002-9939-1976-0391147-3
A geometric interpretation of a classical group cohomology obstruction
R. O. Hill
Proc. Amer. Math. Soc. 54 (1976), 405-412
DOI: https://doi.org/10.1090/S0002-9939-1976-0391089-3
Axial maps with further structure
A. J. Berrick
Proc. Amer. Math. Soc. 54 (1976), 413-416
DOI: https://doi.org/10.1090/S0002-9939-1976-0397750-9
Weak containment and weak Frobenius reciprocity
Elliot C. Gootman
Proc. Amer. Math. Soc. 54 (1976), 417-422
DOI: https://doi.org/10.1090/S0002-9939-1976-0435286-7
Embedding contractible $2$-complexes in $E^{4}$
Benjamin M. Freed
Proc. Amer. Math. Soc. 54 (1976), 423-430
DOI: https://doi.org/10.1090/S0002-9939-1976-0391093-5
An almost continuous function $f:$ $S^{n}\rightarrow S^{m}$ which commutes with the antipodal map
Kenneth R. Kellum
Proc. Amer. Math. Soc. 54 (1976), 431-432
DOI: https://doi.org/10.1090/S0002-9939-1976-0397684-X
Sequential order and spaces $S_{n}$
M. Rajagopalan
Proc. Amer. Math. Soc. 54 (1976), 433-438
DOI: https://doi.org/10.1090/S0002-9939-1976-0394576-7
A uniqueness result for topological groups
Robert R. Kallman
Proc. Amer. Math. Soc. 54 (1976), 439-440
DOI: https://doi.org/10.1090/S0002-9939-1976-0417326-4
On the Lefschetz number for iterates of continuous mappings
H. O. Peitgen
Proc. Amer. Math. Soc. 54 (1976), 441-444
DOI: https://doi.org/10.1090/S0002-9939-1976-0391074-1
Actions of groups of odd order on compact, orientable manifolds
Cristian U. Sanchez
Proc. Amer. Math. Soc. 54 (1976), 445-448
DOI: https://doi.org/10.1090/S0002-9939-1976-0407871-X
A peculiar triangulation of the $3$-sphere
A. Altshuler
Proc. Amer. Math. Soc. 54 (1976), 449-452
DOI: https://doi.org/10.1090/S0002-9939-1976-0397744-3
On Neumer’s theorem
I. Juhász
Proc. Amer. Math. Soc. 54 (1976), 453-454
DOI: https://doi.org/10.1090/S0002-9939-1976-0394569-X
The fundamental theorem of algebra on rational $H$-spaces
Laura Weiss
Proc. Amer. Math. Soc. 54 (1976), 455-458
DOI: https://doi.org/10.1090/S0002-9939-1976-0391080-7
The asymptotic expansion of the zeta-function of a compact semisimple Lie group
Robert S. Cahn
Proc. Amer. Math. Soc. 54 (1976), 459-462
DOI: https://doi.org/10.1090/S0002-9939-1976-0397802-3
Counting $3$ by $n$ Latin rectangles
K. P. Bogart and J. Q. Longyear
Proc. Amer. Math. Soc. 54 (1976), 463-467
DOI: https://doi.org/10.1090/S0002-9939-1976-0389618-9
A homomorphism theorem for finite graphs
Michael Aschbacher
Proc. Amer. Math. Soc. 54 (1976), 468-470
DOI: https://doi.org/10.1090/S0002-9939-1976-0505776-7
On the plane term rank of a three dimensional matrix
R. A. Brualdi and J. Csima
Proc. Amer. Math. Soc. 54 (1976), 471-473
DOI: https://doi.org/10.1090/S0002-9939-1976-0387319-4