ams (mos) major subject headings (1970) · swanson, c. a. a comparison theorem for eigenfunctions,...
TRANSCRIPT
AMS (MOS) MAJOR SUBJECT HEADINGS (1970)
The letters in parentheses indicate groupings which are used in
table of contents of each issue and in the volume index.
00 (H) General
01 (H) History and Biography
02 (E) Logic and Foundations
04 (E) Set Theory
05 (A) Combinatorics
06 (A) Order, Lattices, OrderedAlgebraic Structures
08 (A) General Mathematical
Systems
10 (A) Number Theory
12 (A) Algebraic Number Theory,Field Theory and Polynomials
13 (A) Commutative Rings andAlgebras
14 (A) Algebraic Geometry
15 (A) Linear and Multilinear
Algebra, Matrix Theory
(finite and infinite)
16 (A) Associative Rings andAlgebras
17 (A) Nonassociative Rings and
Algebras
18 (A) Category Theory,
Homological Algebra20 (A) Group Theory and
Generalizations
22 (G) Topological Groups, LieGroups
26 (B) Real Functions28 (B) Measure and Integration
30 (B) Functions of a ComplexVariable
31 (B) Potential Theory32 (B) Several Complex Variables
and Analytic Spaces33 (B) Special Functions34 (B) Ordinary Differential
Equations35 (B) Partial Differential Equations39 (B) Finite Differences and
Functional Equations
40 (B) Sequences, Series,
Summability
41 (B) Approximations and
Expansions
42 (B) Fourier Analysis
43 (B) Abstract Harmonic Analysis
44 (B) Integral Transforms,
Operational Calculus
45 (B) Integral Equations
46 (B) Functional Analysis47 (B) Operator Theory
49 (B) Calculus of Variations andOptimal Control
50 (D) Geometry
52 (D) Convex Sets and Geometric
Inequalities53 (D) Differential Geometry54 (G) General Topology
55 (G) Algebraic Topology
57 (G) Manifolds and Cell Complexes58 (G) Global Analysis, Analysis on
Manifolds
60 (F) Probability Theory and
Stochastic Processes
62 (F) Statistics65 (C) Numerical Analysis
68 (C) Computer Science70 (C) Mechanics of Particles and
Systems
73 (C) Mechanics of Solids76 (C) Fluid Mechanics78 (C) Optics, Electromagnetic
Theory
80 (C) Classical Thermodynamics,
Heat Transfer
81 (C) Quantum Mechanics
82 (C) Statistical Physics, Structure
of Matter83 (C) Relativity85 (C) Astronomy and Astrophysics
86 (C) Geophysics90 (C) Economics, Operations Re-
search, Programming, Games
92 (C) Biology and Behavioral
Sciences
83 (C) Systems, Control
94 (C) Information and Communica-
tion, Circuits, Automata
96 (H) Mathematical Education,
Elementary
97 (H) Mathematical Education,
Secondary
98 (H) Mathematical Education,
Collegiate
623
INDEX TO VOLUME 37
SUBJECT INDEX
* Starred items are "Shorter
Notes"
A. Algebra and Number Theory
05. Combinatorics
Howard, F. T. Formulas for the number of binomial coefficients divisible by a
fixed power of a prime, 358."O'Neil, P. V. A short proof of Mac Lane's planarity theorem, 619.
Parker, E. T. Edge coloring numbers of some regular graphs, 423.
06. Order, Lattices, Ordered Algebraic Structures
Hung, H. H. The amalgamation property for G-metric spaces, 53.
Lakser, Harry. Principal congruences of pseudocomplemented distributive lattices,
32.Reynolds, William H. A note on embedding a partially ordered ring in a division
algebra, 37.
Rival, Ivan. Maximal sublattices of finite distributive lattices, 417.
08. General Mathematical Systems
Hung, H. H. The amalgamation property for G-metric spaces, 53.
10. Number Theory
Berndt, Bruce C. A new proof of the functional equation of Dirichlet L-functions,
355.Brown, Ezra. Biquadratic reciprocity laws, 374.
Evans, Ronald J. Modular forms on Heche's modular groups, 411.
Suryanarayana, D. and Rao, R. Sita Rama Chandra. Distribution of semi-k-free
integers, 340.
12. Algebraic Number Theory, Field Theory and Polynomials
Rosenlicht, Maxwell. An analogue of VHospital's rule, 369.
13. Commutative Rings and Algebras
Alamelu, S. On commutativity of endomorphism rings of ideals, 29.
Arnold, J. T. and Brewer, J. W. When (D[[X]\)r^rXn is a valuation ring, 326.
Cowsik, R. C. On a question of M. Höchster, 75.
Gersten, S. M. K3 of a ring is H3 of the Steinberg group, 366.
Kuku, Aderemi O. Some algebraic K-theoretic applications of the LF and NF
functors, 363.
Pomfret, J. Similarity of matrices over finite rings, 421.
Roberts, Leslie G. An example of a Hilbert ring with maximal ideals of different
height, 425.
14. Algebraic Geometry
Eklof, Paul C. Lefschetz's principle and local functors, 333.
Ogus, Arthur. Zariski's theorem on several linear systems, 59.
15. Linear and Multilinear Algebra; Matrix Theory (finite and infinite)
Chung, I. Y. Direct decomposition of tensor products into subtensor products, 1.
de Oliveira, G. N. Matrices with prescribed entries and eigenvalues. I, 381.
Pomfret, J. Similarity of matrices over finite rings, 421.
625
626 INDEX TO VOLUME 37 [February
16. Associative Rings and Algebras
Chacron, M. and Chacron, J. Rings with involution all of whose symmetric elements
are nilpotent or regular, 397.
Gersten, S. M. K3 of a ring is H3 of the Steinberg group, 366.
Michler, Gerhard O. The kernel of a block of a group algebra, 47.
Wehlen, Joseph A. Triangular matrix algebras over Hensel rings, 69.
18. Category Theory, Homological Algebra
Barr, Michael. Embedding of categories, 42.
Gersten, S. M. K, of a ring is Hz of the Steinberg group, 366.
Kuku, Aderemi O. Some algebraic K-theoretic applications of the LF and NF
functors, 363.20. Group Theory and Generalizations
Alperin, J. and Janusz, G. Resolutions and periodicity, 403.
Berger, T. R. Hall-Higman type theorems. IV, 317.
Boler, James and Evans, Benny. The free product of residually finite groupsamalgamated along retracts is residually finite, 50.
Groves, J. R. J. On direct products of regular p-groups, 377.
Herzog, Marcel. On Sylow intersections. 352.
Karrass, A. and Solitar, D. On finitely generated subgroups which are of finiteindex in generalized free products, 22.
Lady, E. L. Countable torsion products of abelian p-groups, 10.
Lorimer, Peter. A property of the groups PYL(m,q), q^S, 393.
Nico, William R. A property of projective ¡deals in semigroup algebras, 407.
Pomfret, J. Similarity of matrices over finite rings, 421.
Ribes, Luis. Amalgamated products of profinite groups: Counterexamples, 413.
Sehgal, Surinder K. Generalized projectors and Carter subgroups of finite groups,347.
Tang, C. Y. On the Frattini subgroups of certain generalized free products of
groups, 63.
Walker, Elbert A. Ulm's theorem for totally projective groups, 387.
Warne, R. J. On the structure of idempotent semigroups, 17.
B. Analysis
26. Real Functions
Adams, David R. and Polking, John C. The equivalence of two definitions of
capacity, 529.
Fadell, Albert. On the existence of regular approximate differentials, 541.
Helton, Jon C. Some interdependencies of sum and product integrals, 201.
Seeley, Robert T. Addendum to "Extension
of Cx functions defined in a half
space", 622.
Wilkins, J. Ernest, Jr. Bounds for the variational ratio of arbitrary linear systems,
128.28. Measure and Integration
Breckenridge, J. C. The significant cylindrical condition anda Hausdorff rectifiable
set, 549.Ridge, William C. Spectrum of a composition operator, 121.
Snell, Roy C. The range of invariant means on locally compact groups and semi-
groups, 441.
30. Functions of a Complex Variable
Behan, Donald F. Commuting analytic functions without fixed points, 114.
Gaier, Dieter. A note on Hall's lemma, 97.
1973] INDEX TO VOLUME 37 627
*Globevnik, J. and Vidav, I. A note on normal-operator-valued analytic functions,617.
Gresser, John T. The compactness of the set of arc cluster sets of an arbitrary
function, 195.
Herrero, Domingo A. Mean growth of inner functions, 175.
Metzger, Thomas A. On polynomial approximation in AQ(D), 468.
Miller, Sanford S., Mocanu, Petru and Reade, Maxwell O. All m-convex functionsare univalent and starlike, 553.
Nakki, Raimo and Palka, Bruce. Uniform equicontinuity of quasiconformalmappings, ATI.
Ow, Wellington H. PD-minimal solutions of \u = Pu on open Riemann surfaces,
85.Shaffer, Dorothy Browne. On bounds for the derivative of analytic functions, 517.
Sibner, R. J. An elementary proof of a theorem concerning infinitely connected
domains, 459.
Styer, D. and Wright, D. On the valence of the sum of two convex functions, 511.
31. Potential Theory
Adams, David R. and Polking, John C. The equivalence of two definitions of
capacity, 529.
Davis, Burgess. An inequality for the distribution of the Brownian gradient function,189.
McCoy, Peter A. Value distribution of potentials in three real variables, 471.
Ow, Wellington H. PD-minimal solutions of Au = Pu on open Riemann surfaces,
85.32. Several Complex Variables and Analytic Spaces
Chen, Su-shing. On a class of quasiconformal junctions in Banach spaces, 545.
Gilman, Jane. Compact Riemann surfaces with conformai involutions, 105.
34. Ordinary Differential Equations
Bownds, J. M. and Diaz, J. B. On restricted uniqueness for systems of ordinary
differential equations, 100.
Brown, R. C. and Krall, Allan M. Adjoints of multipoint-integral boundary value
problems, 213.
Dickey, R. W. A quasilinear evolution equation and the method of Galerkin,
149.
George, J. H. and York, R. J. Application of Liapunov theory to boundary value
problems. II, 207.
35. Partial Differential Equations
Ballou, Donald P. Weak solutions with unbounded variation, 181.
Diederich, J. R. Weyl's lemma for pointwise solutions of elliptic equations, 476.
Swanson, C. A. A comparison theorem for eigenfunctions, 537.*Uhlenbeck, K. A new proof of a regularity theorem for elliptic systems, 315.
40. Sequences, Series, Summability
Atalla, Robert E. Regular matrices and P-sets in ßN\N, 157.
42. Fourier Analysis
Blei, Ron C. On subsets with associated compacta in discrete abelian groups, 453.
43. Abstract Harmonic Analysis
Miller, John J. H. and Simms, D. J. On the coefficients of an asymptotic expansion
of spherical functions on symmetric spaces, 448.
Mueller-Roemer, Peter R. A tauberiangroup algebra, 163.
44. Integral Transforms, Operational Calculus
McCoy, Peter A. Value distribution of potentials in three real variables, 471.
628 INDEX TO VOLUME 37 [February
45. Integral Equations
Sours, Richard E. Absolutely continuous component of a class of integral operators,
521.46. Functional Analysis
Behncke, H. Nilpotent elements in Banach algebras, 137.
Busby, Robert C. On the equivalence of twisted group algebras and Banach*-algebraic bundles, 142.
Clancey, Kevin. Invariant subspaces of infinite codimension for some nonnormal
operators, 525.
Cochran, Allan C. Inductive limits of A-convex algebras, 489.
Davis, William J. and Johnson, William B. A renorming of nonreflexive Banach
spaces, 486.
Eifler, Larry Q. Inverting sets for function algebras, 96.
Howard, Joe. Mackey compactness in Banach spaces, 108.
Johnson, Gordon G. Inner products characterized by difference equations, 535.
Loy, R. J. Continuity of higher derivations, 505.McCharen, Edith A. A new topology on B*-algebras arising from the Arens
products, 77.-. A characterization of dual B*-algebras, 84.
Mueller-Roemer, Peter R. A tauberiangroup algebra, 163.
Randtke, Daniel J. A simple example of a universal Schwartz space, 185.
Shields, Paul C. Weakly compact positive operators on summable functions, 456.
Sidney, S. J. A note on enveloped measures, 167.
Terzioglu, T. Smooth sequence spaces and associated nuclearity, 497.
Wong, Pak-Ken. On the Arens product and commutative Banach algebras, 111.
Woods, Paul Carlton. Markuschevich bases and semireflexivity, 217.
47. Operator Theory
Clancey, Kevin. Invariant subspaces of infinite codimension for some nonnormal
operators, 525.
Crandall, Michael G. A generalized domain for semigroup generators, 434.
Hochstadt, Harry. One dimensional perturbations of compact operators, 465.
Loy, R. J. Continuity of higher derivations, 505.
Okazawa, Noboru. Perturbations of linear M-accretive operators, 169.
Randtke, Daniel J. Representation theorems for compact operators, 481.
Ridge, William C. Spectrum of a composition operator, 121.
Shields, Paul C. Weakly compact positive operators on summable functions, 456.
Sours, Richard E. Absolutely continuous component of a class of integral operators,
521.49. Calculus of Variations and Optimal Control
Silverman, Edward. A necessary condition in the calculus of variations, 462.
C. Applied Mathematics
68. Computer Science
Young, Paul. Easy constructions in complexity theory: Gap and speed-up theorems,
555.
D. Geometry50. Geometry
Lorimer, Peter. A property of the groups PTL(m, q), <7=£5, 393.
52. Convex Sets and Geometric Inequalities
Loveland, L. D. and Valentine, J. E. Convex metric spaces with O-dimensional
midsets, 568.
1973) INDEX TO VOLUME 37 629
53. Differential Geometry
Chen, Bang-yen. A characterization of standard flat tori, 564.
Gordon, William B. An analytical criterion for the completeness of riemannian
manifolds, 221.
E. Logic and Foundations
02. Logic and Foundations
Blass, Andreas. Determinateness and continuity, 572.
Eklof, Paul C. Lefschetz's principle and local functors, 333.
Young, Paul. Easy constructions in complexity theory: Gap and speed-up theorems
555.
F. Statistics and Probability
60. Probability Theory and Stochastic Processes
Davis, Burgess. An inequality for the distribution of the Brownian gradient function,189.
Hanson, D. L. and Wright, F. T. A theorem about the oscillation of sums of
independent random variables, 226.
Lange, Kenneth. Decompositions of substochastic transition functions, 575.
Rogge, Lothar. The convergence determining class of regular open sets, 581.
G. Topology
22. Topological Groups, Lie Groups
Lee, D. H. On the homomorphisms of locally compact groups, 246.
Snell, Roy C. The range of invariant means on locally compact groups and semi-
groups, 441.
54. General Topology
Chimenti, Frank A. Tychonoff's theorem for hyperspaces, 281.
Choe, Tae Ho. Injective compact distributive lattices, 241.
Friedler, Louis. Quotients of proximity spaces, 589.
Fuller, R. V. A characterization of local compactness, 615.
Gazik, R. J. A hyper space for convergence spaces, 234.
Hindman, Neil. Preimages of points under the natural map from ß(NxN) to
ßNxßN, 603.Hung, H. H. The amalgamation property for G-metric spaces, 53.
Loveland, L. D. and Valentine, J. E. Convex metric spaces with O-dimensional
midsets, 568.
Michael, E. and Nagami, K. Compact-covering images of metric spaces, 260.
Slaughter, F. G., Jr. The closed image of a metrizable space is Mx, 309.
55. Algebraic Topology
Boler, James and Evans, Benny. The free product of residually finite groupsamalgamated along retracts is residually finite, 50.
Chapman, T. A. Locally-trivial bundles and microbundles with infinite-dimensional
fibers, 595.Hardie, K. A. On composite loop functors, 586.
Heil, Wolfgang, ^-manifolds that are sums of solid tori and Seifert fiber spaces,
609.Wood, John C. A theorem on Injectivity of the cup product, 301.
57. Manifolds and Cell Complexes
Brown, Robert F. The real cohomology of compact disconnected Lie groups, 255.
Dieffenbach, Robert M. Homotopic PL n-balls are isotopic, Tl\.
630 INDEX TO VOLUME 37
Heil, Wolfgang. 2-manifolds that are sums of solid tori and Seifert fiber spaces,
609.Narvarte, J. A. A model for closed orientable 3-manifolds of genus 1, 287.
Porter, Richard D. An H-space with finite dimensional homology whose loop
space has torsion, 291.
Schochet, Claude. On the bordism ring of complex projective space, 267.
Wright, Perrin. Formal 3-deformations ofl-polyhedra, 305.
58. Global Analysis, Analysis on Manifolds
Franks, John. Absolutely structurally stable diffeomorphisms, 293.
Gordon, William B. Analytical criterion for the completeness of riemannian
manifolds, 221.
Plante, J. F. Homology of closed orbits of Anosov flows, 297.
AUTHOR INDEX
*Starred items are "Shorter
Notes"
Adams, David R. and Polking, John C. The equivalence of two definitions of capacity,
529.Alamelu, S. On commutativity of endomorphism rings of ideals, 29.
Alperin, J. and Janusz, G. Resolutions and periodicity, 403.
Arnold, J. T. and Brewer, J. W. When (D[[X]})PrrX^ is o valuation ring, 326.
Atalla, R. E. Regular matrices andP-sets in ßN\N, 157.
Ballou, Donald P. Weak solutions with unbounded variation, 181.
Barr, Michael. Embedding of categories, 42.
Behan, Donald F. Commuting analytic functions without fixed points, 114.
Behncke, H. Nilpotent elements in Banach algebras, 137.
Berger, T. R. Hall-Higman type theorems. IV, 317.
Berndt, Bruce C. A new proof of the functional equation of Dirichlet L-functions, 355.
Blass, Andreas. Determinateness and continuity, 572.
Blei, Ron C. On subsets with associated compacta in discrete abelian groups, 453.
Boler, James and Evans, Benny. The free product of residually finite groups amalgamated
along retracts is residually finite, 50.
Bownds, J. M. and Diaz, J. B. On restricted uniqueness for systems of ordinary differential
equations, 100.
Breckenridge, J. C. The significant cylindrical condition and a Hausdorff rectifiable set,
549.Brewer, J. W, See Arnold, J. T.
Brown, Ezra. Biquadratic reciprocity laws, 374.
Brown, R. C. and Krall, Allan M. Adjoints of multipoint-integral boundary value
problems, 213.
Brown, Robert F. The real cohomology of compact disconnected Lie groups, 255.
Busby, Robert C. On the equivalence of twisted group algebras and Banach *-algebraic
bundles, 142.
Chacron, J. and Chacron, M. Rings with involution all of whose symmetric elements are
nilpotent or regular, 397.
Chacron, M. See Chacron, J.
Chapman, T. A. Locally-trivial bundles and microbundles with infinite-dimensional fibers,595.
Chen, Bang-yen. A characterization of standard flat tori, 564.
Chen, Su-shing. On a class of quasiconformal functions in Banach spaces, 545.
Chimenti, Frank A. Tychonoff's theorem for hyperspaces, 281.
Choe, Tae Ho. Infective compact distributive lattices, 241.
Chung, I. Y. Direct decomposition of tensor products into subtensor products, 1.
Clancey, Kevin. Invariant subspaces of infinite codimension for some nonnormal operators,
525.Cochran, Allan C. Inductive limits of A-convex algebras, 489.
Cowsik, R. C. On a question of M. Höchster, 75.
Crandall, Michael G. A generalized domain for semigroup generators, 434.
Davis, Burgess. An inequality for the distribution of the Brownian gradient function,189.
631
632 INDEX TO VOLUME 37 [February
Davis, William J. and Johnson, William B. A renorming of nonreflexive Banach spaces.
486.Diaz, J. B. See Bownds, J. M.
Dickey, R. W. A quasilinear evolution equation and the method ofGalerkin, 149.
Diederich, J. R. Weyl's lemma for pointwise solutions of elliptic equations, 476.
Dieffenbach, Robert M. Homotopic PL n-balls are isotopic, 271.
Eifler, Larry Q. Inverting sets for function algebras, 96.
Eklof, Paul C. Lefschetz's principle and local functors, 333.
Evans, Benny. See Boler, James.
Evans, Ronald J. Modular forms on Hecke's modular groups, 411.
Fadell, Albert. On the existence of regular approximate differentials, 541.
Franks, John. Absolutely structurally stable diffeomorphisms, 293.
Friedler, Louis. Quotients of proximity spaces, 589.
Fuller, R. V. A characterization of local compactness, 615.
Gaier, Dieter. A note on Hall's lemma, 97.
Gazik, R. J. A hyperspace for convergence spaces, 234.
George, J. H. and York, R. J. Application ofLiapunov theory to boundary value problems,II, 207.
Gersten, S. M. K3 of a ring is H3 of the Steinberg group, 366.
Gilman, Jane. Compact Riemann surfaces with conformai involutions, 105.*Globevnik, J. and Vidav, I. A note on normal-operator-valued analytic functions,
617.Gordon, William B. An analytical criterion for the completeness ofriemannian manifolds,
221.Gresser, John T. The compactness of the set of arc cluster sets of an arbitrary function,
195.Groves, J. R. J. On direct products of regular p-groups, ill.
Hanson, D. L. and Wright, F. T. A theorem about the oscillation of sums of independent
random variables, 226.
Hardie, K. A. On composite loop functors, 586.
Heil, Wolfgang. 3-manifolds that are sums of solid tori and Seifert fiber spaces, 609.
Helton, Jon C. Some interdependencies of sum and product integrals, 201.
Herrero, Domingo A. Mean growth of inner functions, 175.
Herzog, Marcel. On Sylow intersections, 352.
Hindman, Neil. Preimages of points under the natural map from ß(NxN) to ßNxßN,603.
Hochstadt, Harry. One dimensional perturbations of compact operators, 465.
Howard, F. T. Formulas for the number of binomial coefficients divisible by a fixed powerof a prime, 358.
Howard, Joe. Mackey compactness in Banach spaces, 108.
Hung, H. H. The amalgamation property for G-metric spaces, 53.
Janusz, G. See Alperin, J.
Johnson, Gordon G. Inner products characterized by difference equations, 535.
Johnson, William B. See Davis, William J.
Karrass, A. and Solitar, D. On finitely generated subgroups which are of finite index in
generalized free products, 22.
Krall, Allan M. See Brown, R. C.Kuku, Aderemi O. Some algebraic K-theoretic applications of the LF and NF functors,
363.Lady, E. L. Countable torsion products of abelian p-groups, 10.
19731 INDEX TO VOLUME 37 633
Lakser, Harry. Principal congruences of pseudocomplemented distributive lattices, 32.
Lange, Kenneth. Decompositions of substochastic transition functions, 575.
Lee, D. H. On the homomorphisms of locally compact groups, 246.
Lorimer, Peter. A property of the groups PTL(m,q), q^5, 393.
Loveland, L. D. and Valentine, J. E. Convex metric spaces with O-dimensional midsets,
568.Loy, R. J. Continuity of higher derivations, 505.
McCharen, Edith A. A new topology of B*-algebras arising from the Arens products, 77.-. A characterization of dual B*-algebras, 84.
McCoy, Peter A. Value distribution of potentials in three real variables, 471.
Metzger, Thomas A. On polynomial approximation in A„(D), 468.
Michael, E. and Nagami, K. Compact-covering images of metric spaces, 260.
Michler, Gerhard O. The kernel of a block of a group algebra, 47.Miller, John J. H. and Simms, D. J. On the coefficients of an asymptotic expansion of
spherical functions on symmetric spaces, 448.
Miller, Sanford S., Mocanu, Petru and Reade, Maxwell O. All a-convex functions are
univalent and starlike, 553.
Mocanu, Petru. See Miller, Sanford S.
Mueller-Roemer, Peter R. A tauberiangroup algebra, 163.
Nagami, K. See Michael E.Näkki, Raimo and Palka, Bruce. Uniform equicontinuity of quasiconformal mappings,
427.Narvarte, J. A. A model for closed orientable 3-manifolds of genus 1, 287.
Nico, William R. A property of projective ideals in semigroup algebras, 407.
Ogus, Arthur. Zariski's theorem on several linear systems, 59.
Okazawa, Noboru. Perturbations of linear M-accretive operators, 169.
de Oliveira, G. N. Matrices with prescribed entries and eigenvalues. I, 381.*0'Neil, P. V. A short proof of Mac Lane's planarity theorem, 619.
Ow, Wellington H. PD-minimalsolutions ofAu=Pu on open Riemann surfaces, 85.
Palka, Bruce. See Näkki, Raimo.
Parker, E. T. Edge coloring numbers of some regular graphs, 423.
Plante, J. F. Homology of closed orbits of Anosov flows, 297.
Polking, John C. See Adams, David R.Pomfret, J. Similarity of matrices over finite rings, 421.
Porter, Richard D. An H-space with finite dimensional homology whose loop space has
torsion, 291.
Randtke, Daniel J. A simple example of a universal Schwartz space, 185.-. Representation theorems for compact operators, 481.
Rao, R. Sita Rama Chandra. See Suryanarayana, D.
Reade, Maxwell O. See Miller, Sanford S.
Reynolds, William H. A note on embedding a partially ordered ring in a division algebra,
37.Ribes, Luis. Amalgamated products of profinite groups: Counterexamples, 413.
Ridge, William C. Spectrum of a composition operator, 121.
Rival, Ivan. Maximal sublattices of finite distributive lattices, 417.
Roberts, Leslie G. An example of a Hilbert ring with maximal ideals of different height,
425.Rogge, Lothar. The convergence determining class of regular open sets, 581.
Rosenlicht, Maxwell. An analogue of VHospital's rule, 369.
Schochet, Claude. On the bordism ring of complex projective space, 267.
634 INDEX TO VOLUME 37
Seeley, Robert T. Addendum to "Extension of C" functions defined in a half space", 622.
Sehgal, Surinder K. Generalized projectors and Carter subgroups of finite groups, 347.
Shaffer, Dorothy Browne. On bounds for the derivative of analytic functions, 517.
Shields, Paul C. Weakly compact positive operators on summable functions, 456.
Sibner, R. J. An elementary proof of a theorem concerning infinitely connected domains,
459.Sidney, S. J. A note on enveloped measures, 167.
Silverman, Edward. A necessary condition in the calculus of variations, 462.
Simms, D. J. See Miller, John J. H.Slaughter, F. G., Jr. The closed image of a metrizable space is Mly 309.
Snell, Roy C. The range of invariant means on locally compact groups and semigroups,
441.Solitar, D. See Karrass, A.
Sours, Richard E. Absolutely continuous component of a class of integral operators, 521.
Styer, D. and Wright, D. On the valence of the sum of two convex functions, 511.
Suryanarayana, D. and Rao, R. Sita Rama Chandra. Distribution of semi-k-free integers,
340.Swanson, C. A. A comparison theorem for eigenfunctions, 537.
Tang, C. Y. On the Frattini subgroups of certain generalized free products of groups, 63.
Terzioglu, T. Smooth sequence spaces and associated nuclearity, 497.•Uhlenbeck, K. A new proof of a regularity theorem for elliptic systems, 315.
Valentine, J. E. See Loveland, L. D.*Vidav, I. See Globevnik, J.
Walker, Elbert A. Ulm's theorem for totally projective groups, 387.
Warne, R. J. On the structure of idempotent semigroups, 17.
Wehlen, Joseph A. Triangular matrix algebras over Hensel rings, 69.
Wilkins, J. Ernest, Jr. Bounds for the variational ratio of arbitrary linear systems, 128.
Wong, Pak-Ken. On the Arens product and commutative Banach algebras, 111.
Wood, John C. A theorem on injectivity of the cup product, 301.
Woods, Paul Carlton. Markuschevich bases and semireflexivity, 217.
Wright, D. See Styer, D.
Wright, F. T. See Hanson, D. L.
Wright, Perrin. Formal 3-deformations ofl-polyhedra, 305.
York, R. J. See George, J. H.
Young, Paul. Easy constructions in complexity theory: Gap and speed-up theorems, 555.
VOLUME 37 NUMBERS 1-2 »(Si JANUARY- ÎRUARY 1973
§5Ü^ WHOLE NUMBERS 163-164
PROCEEDINGSJL OF THE
AMERICAN MATHEMATICAL SOCIETY
EDITED BYFred G. BrauerGlen E. BredonW. Wistar ComfortJacob Feldman
Richard R. GoldbergJoseph J. Rotman
George B. Seligman
With the Cooperation ofJay R. GoldmanJames D. KuelbsAllen L. ShieldsRobert I. Soare
PROVIDENCE, RHODE ISLAND USA
ISSN 0002-9939
Proceedings of the American Mathematical Society
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
CONTENTS*
Vol. 37, No. 1 JANUARY 1973 Whole No. 163
Page
A. Algebra and Number Theory
Direct decomposition of tensor products into subtensor products. By I. Y.Chung. 1
Countable torsion products of abelian /»-groups. By E. L. Lady. 10On the structure of idempotent semigroups. By R. J. Warne. 17On finitely generated subgroups which are of finite index in generalized free prod-
ucts. By A. Karrass and D. Solttar. 22On commutativity of endomorphism rings of ideals. By S. Alamelu. 29Principal congruences of pseudocomplemented distributive lattices. By Harry
Lakser. 32A note on embedding a partially ordered ring in a division algebra. By William
H. Reynolds. 37Embedding of categories. By Michael Barr. 42The kernel of a block of a group albegra. By Gerhard O. Michler. 47The free product of residually finite groups amalgamated along retracts is residu-
ally finite. By James Boler and Benny Evans. 50The amalgamation property for G-metric spaces. By H. H. Hung. 53Zariski's theorem on several linear systems. By Arthur Ogus. 59On the Frattini subgroups of certain generalized free products of groups. By C. Y.
Tang. 63Triangular matrix algebras over Hensel rings. By Joseph A. Wehlen. 69On a question of M. Höchster. By R. C. Cowsik. 75
B. Analysis
A new topology on i?*-algebras arising from the Arens products. By Edith A.McCharen. 77
A characterization of dual B*-algebras. By Edith A. McCharen. 84jPZ)-minimal solutions of &u=Pu on open Riemann surfaces. By Wellington H.
Ow. 85Inverting sets for function algebras. By Larry Q. Eifler. 92A note on Hall's lemma. By Dieter Gaier. 97On restricted uniqueness for systems of ordinary differential equations. By J. M.
Bownds and J. B. Diaz. 100Compact Riemann surfaces with conformai involutions. By Jane Gilman. 105Mackey compactness in Banach spaces. By Joe Howard. 108On the Arens product and commutative Banach algebras. By Pak-Ken Wong .. IllCommuting analytic functions without fixed points. By Donald F. Behan ..... 114
Spectrum of a composition operator. By William C Ridge. 121
Bounds for the variational ratio of arbitrary linear systems. By J. Ernest Wilkins,Jr.,. 128
Nilpotent eiements in Banach algebras. By H. Behncke. 137
On the equivalence of twisted group algebras and Banach *-algebraic bundles. By
Robert C. Busby. 142A quasi-linear evolution equation and the method of Galerkin. By R. W. Dickey. 149
* The volume indexes contain a mapping showing the correspondence between
sections A-G and the AMS (MOS) subject classification numbers.
Regular matrices and P-sets in ßN\N. By R. E. Atalla. 157A tauberian group algebra. By Peter R. Mueller-Roemer. 163A note on enveloped measures. By S. J. Sidney. 167Perturbations of linear m-accretive operators. By Noboru Okazawa. 169Mean growth of inner functions. By Domingo A. Herrero. 175Weak solutions with unbounded variation. By Donald P. Ballou. 181A simple example of a universal Schwartz space. By Daniel J. Randtke. 185An inequality for the distribution of the Brownian gradient function. By Burgess
Davis. 189The compactness of the set of arc cluster sets of an arbitrary function. By John T.
Gresser. 195Some interdependences of sum and product integrals. By Jon C. Helton. 201Application of Liapunov theory to boundary value problems. II. By J. H. George
andR.J.York. 207Adjoints of multipoint-integral boundary value problems. By R. C. Brown and
Allan M. Krall. 213Markuschevich bases and semireflexivity. By Paul Carlton Woods. 217
D. Geometry
An analytical criterion for the completeness of riemannian manifolds. By WilliamB. Gordon. 221
F. Statistics and Probability
A theorem about the oscillation of sums of independent random variables. ByD. L. Hanson and F. T. Wright._ 226
G. Topology
A hyperspace for convergence spaces. By R. J. Gazik. 234Injective compact distributive lattices. By Tae Ho Choe. 241On the homomorphisms of locally compact groups. By D. H. Lee. 246The real cohomology of compact disconnected Lie groups. By Robert F. Brown 255
Compact-covering images of metric spaces. By E. Michael and K. Nagami_ 260On the bordism ring of complex projective space. By Claude Schochet. 267Homotopic PL n-balls are isotopic. By Robert M. Dieffenbach. 271
Tychonoff's theorem for hyperspaces. By Frank A. Chimenti. 281
A model for closed orientable 3-manifolds of genus 1. By J. A. Narvarte. 287
An //-space with finite dimensional homology whose loop space has torsion. By
Richard D. Porter. 291Absolutely structurally stable diffeomorphisms. By John Franks. 293Homology of closed orbits of Anosov flows. By J. F. Plante. 297A theorem on injectivity of the cup product. By John C Wood. 301Formal 3-deformations of 2-polyhedra. By Perrin Wright._ 305The closed image of a metrizable space is Mx. By F. G. Slaughter, Jr. 309
Shorter Notes
A new proof of a regularity theorem for elliptic systems. By K. Uhlenbeck_ 315
Vol. 37, No. 2 FEBRUARY 1973 Whole No. 164
Page
A. Algebra and Number Theory
Hall-Higman type theorems. IV. By T. R. Berger. 317
When (/>[[All)/>[[x]] is a valuation ring. By J. T. Arnold and J. W. Brewer. .. 326
Lefschetz's principle and local functors. By Paul C. Eklof. 333
Distribution of semi-£-free integere. By D. Suryanarayana and R. Sita RamaChandra Rao. 340
Generalized projectors and Carter subgroups of finite groups. By Surinder K.Sehgal. 347
On Sylow intersections. By Marcel Herzog. 352A new proof of the functional equation of Dirichlet ¿-functions. By Bruce C.
Berndt. 355Formulas for the number of binomial coefficients divisible by a fixed power of a
prime. By F. T. Howard. 358Some algebraic ^-theoretic applications of the LF and NF functors. By Aderemi
O. Kuku. 363K3 of a ring is H3 of the Steinberg group. By S. M. Gersten. 366An analogue of L'Hospital's rule. By Maxwell Rosenlicht. 369Biquadratic reciprocity laws. By Ezra Brown. 374On direct products of regular /»-groups. By J. R. J. Groves. 377Matrices with prescribed entries and eigenvalues. I. By G. N. de Oliveira. 380Ulm's theorem for totally projective groups. By Elbert A. Walker. 387A property of the groups PTL(m, q), q—S. By Peter Lorimer. 393Rings with involution all of whose symmetric elements are nilpotent or regular.
By J. Chacron and M. Chacron. 397Resolutions and periodicity. By J. Alperin and G. Janusz. 403A property of projective ideals in semigroup algebras. By William R. Nico_ 407Modular forms on Hecke's modular groups. By Ronald J. Evans. 411Amalgamated products of profinite groups: Counterexamples. By Luis Ribes ... 413Maximal sublattices of finite distributive lattices. By Ivan Rival. 417Similarity of matrices over finite rings. By J. Pomfret. 421Edge coloring numbers of some regular graphs. By E. T. Parker. 423An example of a Hilbert ring with maximal ideals of different height. By Leslie G.
Roberts. 425
B. Analysis
Uniform equicontinuity of quasiconformal mappings. By Raimo Näkki andBruce Palka. 427
A generalized domain for semigroup generators. By Michael G. Crandall_ 434The range of invariant means on locally compact groups and semigroups. By
Roy C Snell. 441On the coefficients of an asymptotic expansion of spherical functions on symmetric
spaces. By John J. H. Miller and D. J. Simms. 448On subsets with associated compacta in discrete abelian groups. By Ron C Blei 453Weakly compact positive operators on summable functions. By Paul C. Shields 456An elementary proof of a theorem concerning infinitely connected domains. By
R. J. Sibner. 459A necessary condition in the calculus of variations. By Edward Silverman_ 462One dimensional perturbations of compact operators. By Harry Hochstadt. .. 465On polynomial approximation in A,(D). By Thomas A. Metzger. 468
Value distribution of potentials in three real variables. By Peter A. McCoy_ 471Weyl's lemma for pointwise solutions of elliptic equations. By J. R. Diederich 476Representation theorems for compact operators. By Daniel J. Randtke. 481A renorming of nonreflexive Banach spaces. By William J. Davis and William B.
Johnson. 486Inductive limits of /4-convex algebras. By Allan C. Cochran. 489Smooth sequence spaces and associated nuclearity. By T. Terzioglu. 497Continuity of higher derivations. By R. J. Loy. 505On the valence of the sum of two convex functions. By D. Styer and D. Wright 511On bounds for the derivative of analytic functions. By Dorothy Browne Shaffer 517Absolutely continuous component of a class of integral operators. By Richard E.
Sours. 521Invariant subspaces of infinite codimension for some nonnormal operators. By
Kevin Clancey. 525The equivalence of two definitions of capacity. By David R. Adams and John C.
Polking. 529
Inner products characterized by difference equations. By Gordon G. Johnson 535A comparison theorem for eigenfunctions. By C. A. Swanson. 537On the existence of regular approximate differentials. By Albert Fadell. 541On a class of quasiconformal functions in Banach spaces. By Su-shing Chen ... 545The significant cylindrical condition and a Hausdorff rectifiable set. By J. C.
Breckenridge. 549All a-convex functions are univalent and starlike. By Sanford S. Miller, Petru
Mocanu and Maxwell O. Reade. 553
C. Applied Mathematics
Easy constructions in complexity theory: Gap and speed-up theorems. By PaulYoung. 555
D. Geometry
A characterization of standard flat tori. By Bang-yen Chen. 564Convex metric spaces with O-dimensional midsets. By L. D. Loveland and J. E.
Valentine. 568
E. Logic and Foundations
Determinateness and continuity. By Andreas Blass. 572
F. Statistics and Probability
Decompositions of substochastic transition functions. By Kenneth Lange. 575The convergence determining class of regular open sets. By Lothar Rogge_ 581
G. Topology
On composite loop functors. By K. A. Hardie. 586
Quotients of proximity spaces. By Louis Friedler. 589Locally-trivial bundles and microbundles with infinite-dimensional fibers. By
T. A. Chapman. 595Preimages of points under the natural map from ß(NxN) to ßNxßN. By Neil
Hindman. 6033-manifolds that are sums of solid tori and Seifert fiber spaces. By Wolfgang Heil 609A characterization of local compactness. By R. V. Fuller. 615
Shorter Notes
A short proof of Mac Lane's planarity theorem. By P. V. O'Neil. 617A note on normal-operator-valued analytic functions. By J. Globevnik and
I.Vidav. 619Addendum to
"Extension of C°° functions defined in a half space". By Robert T.
Seeley. 622AMS (MOS) Major Subject Headings (1970). 623Index to Volume 37. 625
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