Paul Halmos | Academic Influence

Why Is Paul Halmos Influential?

According to Wikipedia, Paul Richard Halmos was a Hungarian-born American mathematician and statistician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis . He was also recognized as a great mathematical expositor. He has been described as one of The Martians.

Paul Halmos's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

A Hilbert Space Problem Book (1862)
Finite-Dimensional Vector Spaces (1077)
Lectures on ergodic theory (692)
Lectures on Boolean Algebras (471)
Algebraic Properties of Toeplitz operators. (465)
Ten problems in Hilbert space (341)
Introduction to Hilbert Space: And the Theory of Spectral Multiplicity (312)
Shifts on Hilbert spaces. (311)
Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics (277)
Naive Set Theory (241)
Bounded integral operators on L²spaces (236)
Naive Set of Theory. (219)
Introduction to Boolean Algebras (217)
The Theory of Unbiased Estimation (216)
The Marriage Problem (200)
Operator Methods in Classical Mechanics, II (188)
The Heart of Mathematics. (176)
Normal Dilations and Extensions of Operators (152)
Algebraic logic, I. Monadic boolean algebras (151)
TWO SUBSPACES (129)
On automorphisms of compact groups (122)
What Does the Spectral Theorem Say (118)
I Want to be a Mathematician (117)
Naive Set Theory (116)
How to Write Mathematics (109)
The range of a vector measure (107)
The personal and the political (105)
In General a Measure Preserving Transformation is Mixing (89)
The Faith of the Counsellors (87)
What Is Teaching (82)
Asymptotic Toeplitz operators (80)
The Sociology of sociology (78)
Reflexive Lattices of Subspaces (78)
Products of involutions (77)
I Want to Be A Mathematician: An Automathography (66)
How to teach (66)
A college education (65)
The personal service society (64)
Some unsolved problems of unknown depth about operators on Hilbert space (63)
Invariant subspaces of polynomially compact operators. (61)
Logic As Algebra (58)
Introduction to Boolean algebras. Undergraduate Texts in Mathematics (58)
Mathematics as a Creative Art (57)
Approximation theories for measure preserving transformations (57)
Positive Approximants of Operators (56)
Commutators of operators (54)
COMMUTATORS OF OPERATORS, II.* (53)
Linear algebra problem book (47)
A Hilbert space problem book (2nd edition) , by P. R. Halmos. Pp 369. £43. 1982. ISBN 0-387-90685-1 (Springer) (47)
The Foundations of Probability (46)
On Foguel’s answer to Nagy’s question (44)
The Legend of John Von Neumann (43)
Products of symmetries (43)
Problems for mathematicians, young and old (41)
The decomposition of measures (40)
II. The Problem of Learning to Teach (38)
The Basic Concepts of Algebraic Logic (36)
Review: W. H. Gottschalk and G. A. Hedlund, Topological dynamics (35)
The William Lowell Putnam Mathematical Competition, Problems and Solutions: 1938-1964. (34)
On Monothetic Groups. (33)
On A Theorem of Dieudonné. (32)
Sets and Classes (32)
THE COMPUTATION OF AGGREGATE LOSS DISTRIBUTIONS (32)
THE TEACHING OF PROBLEM SOLVING (30)
Square roots of operators (30)
Comment on the real line (29)
Numerical ranges and normal dilations (28)
Capacity in Banach Algebras (27)
The Sociological review monograph (27)
Ten years in Hilbert space (25)
Recent progress in ergodic theory (24)
Vector bases for two commuting matrices (24)
Applied Mathematics is Bad Mathematics (23)
Spectral approximants of normal operators (23)
Professionalisation and social change (23)
Algebraic logic. IV. Equality in polyadic algebras (22)
Continuous functions of Hermitian operators (21)
Solitude and privacy;: A study of social isolation, its causes and therapy (21)
Finite Dimensional Vector Spaces. (AM-7) (20)
Subnormal Suboperators and the Subdiscrete Topology (19)
Commutators of operators on Hilbert space (18)
The faith of the counsellors : a study in the theory and practice of social case work and psychotherapy (17)
The decomposition of measures, II (17)
On the set of values of a finite measure (17)
Eigenvectors and adjoints (17)
Review: Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I: General theory (17)
Has progress in mathematics slowed down (16)
Solitude and Privacy (16)
Spectra and spectral manifolds (16)
A Non Homogeneous Ergodic Theorem (15)
The sociology of mass-media communicators (15)
Professions and Power (15)
Paul Halmos Celebrating 50 Years Of Mathematics (15)
Note on almost-universal forms (15)
The personal and the political: Social work and political action (14)
A nonhomogeneous ergodic theorem (14)
Bad products of good matrices (13)
Limits of Shifts (13)
Von Neumann on measure and ergodic theory (13)
Finite-dimensional points of continuity of Lat (13)
Square Roots of Measure Preserving Transformations (13)
The Personal Service Society (13)
Selecta : expository writing (13)
Square roots of operators. II (12)
The representation of σ-algebras (11)
Permutations of sequences and the Schröder-Bernstein theorem (11)
Free monadic algebras (11)
Algebraic logic. III. Predicates, terms, and operations in polyadic algebras (11)
Innovation in Mathematics (10)
Limsups of Lats (10)
MEASURABLE TRANSFORMATIONS (10)
Old and New Unsolved Problems in Plane Geometry and Number Theory. By Victor Klee and Stan Wagon (10)
The representation of monadic Boolean algebras (10)
A Glimpse into Hilbert Space (10)
Products of shifts (9)
Invariants of certain stochastic transformations: The mathematical theory of gambling systems (9)
Weakly transitive matrices (9)
I have a photographic memory (9)
Does mathematics have elements? (9)
The Development of Industrial Societies (9)
How to talk Mathematics (9)
The Serre Conjecture (8)
Finite-Dimensional Hilbert Spaces (8)
TOEPLITZ AND WIENER-HOPF OPERATORS IN H«+C (8)
Learning to study (7)
Finite monadic algebras (7)
Commutativity and spectral properties of normal operators (7)
Sociology and the Personal Service Professions (7)
The foundation year in the University of Keele: A report (6)
Personal Involvement in Learning about Personality (6)
An autobiography of Polyadic Algebras (6)
Finite-Dimensional Hilbert Spaces (5)
Pure Thought is Better Yet (5)
The thrills of abstraction (5)
Entropy in ergodic theory : [lectures at] University of Chicago, Sept., 1959 (5)
Professions, Work and Careers (4)
Shorter Notes: Permutations of Sequences and the Schroder-Bernstein Theorem (4)
Sociological Studies in British University Education (4)
Large intersections of large sets (4)
PREDICATES, TERMS, OPERATIONS, AND EQUALITY IN POLYADIC BOOLEAN ALGEBRAS. (4)
On a Necessary Condition for the Strong Law of Large Numbers (4)
Entropy in Ergodic Theory (4)
About Books (3)
The sociology of science (3)
Review: N. Bourbaki, Intégration (3)
Book Review: Lectures on invariant subspaces (3)
The Thrills of Abstraction. (3)
Inverses and Composites (3)
Hungarian sociological studies (3)
Does mathematics have elements? (3)
Logic from A to G (3)
What to Publish (2)
Postcards from Max (2)
American Mathematics from 1940 to the Day Before Yesterday (2)
The representation theorem (2)
Review: G. Pólya, Mathematics and plausible reasoning (2)
Use of Mathematical Literature. (2)
Stochastic processes in sociology (2)
Papers on the teaching of personality development (2)
The Peano Axioms (2)
Selecta : research contributions (2)
Think It Gooder (2)
Sociological studies in the British penal services (2)
Why is a congress? (2)
Elementary Problems: E2920-E2925 (1)
How to do almost everything (1)
Introduction a la theorie des ensembles (1)
The concept of social action (1)
Review: A. C. Zaanen, Linear analysis (1)
The teaching of sociology to students of education and social work (1)
Generalized Numerical Range (1)
Properties of spectra (1)
Psychologies of Love (1)
Review: Alfred Tarski, Logic, semantics, metamathematics (1)
Towards a Measure of Man: The Frontiers of Normal Adjustment (1)
Review: M. Picone and T. Viola, Lezioni sulla teoria moderna dell'integrazione (1)
APPROXIMATION THEORIES FOR MEASURE PRE- (1)
Ideals and filters (1)
The harmonic Cesàro and Copson operators on the spaces L p ( R ) , 1 ≤ p ≤ 2 by Ferenc Móricz (1)
Boolean σ-algebras (1)
Review: Jean Dieudonn, Panorama des mathmatiques pures. Le choix bourbachique (1)
A reason for hope (1)
Properties of Compactness (1)
I want to be a mathematician (excerpts) (1)
Unions and Intersections (1)
Review: A. A. Fraenkel, Abstract set theory (1)
Isomorphisms of factors (1)
The Schröder-Bernstein Theorem (1)
The Axiom of Extension (1)
Readings in general psychology (1)
Review: Howard Levi, Elements of algebra (1)
Review: F. J. Murray, An Introduction to Linear Transformations in Hilbert Space (1)
How to Remember Walter Kaufmann-Bühler (1)
The Canford families : a study in social casework and group work (1)
Fields of sets (1)
Latin American Sociological Studies (1)
Measures and Outer Measures (1)
T. H. Marshall (1)
Sociology and medicine : studies within the framework of the British National Health Service (1)
Invariant Subspaces 1969 (1)
ii. What to Publish (1)
Book Review: Les systèmes axiomatiques de la théorie des ensembles (1)
Research on Loneliness (1)
Four Panel Talks on Publishing (1)
Sociological studies in economics & administration, (0)
Review: A. H. Copeland, Note on Cylindric Algebras and Polyadic Algebras (0)
Service, one way or another (0)
Locally Compact Spaces (0)
Algebraic logic (reprint) (0)
THE NOVEMBER MEETING IN EVANSTON (0)
APPENDIX I. THE CLASSICAL CANONICAL FORM (0)
General Set Functions (0)
T E N PROBLEMS IN HILBERT SPACE BY P. R. HALMOS Dedicated to my teacher and friend Joseph Leo Doob with admiration and affection. TABLE OF CONTENTS (0)
The problems arising from the teaching of personality development (0)
Introduction a la théorie des ensembles : (Naive set theory) (0)
Complements and Powers (0)
Boolean σ-spaces (0)
list of Chauvenet Prize winners (0)
Chapter II. TRANSFORMATIONS (0)
Decisions in Professional Education (0)
The Development of Industrial Societies. Papers Read at the Nottingham Conference of the British Sociological Association. Avril 1964 (0)
APPENDIX II. DIRECT PRODUCTS (0)
Products of algebras (0)
Strong and weak topologies (0)
Pacific Journal of Mathematics SOLUTION OF AN INVARIANT SUBSPACE PROBLEM OF (0)
Moral issues in the training of teachers and social workers (0)
Extension of Measures (0)
Measure and Topology in Groups (0)
Cosets, clusters, spinsters, and the Schröder-Bernstein theorem (0)
Sets of Ordinal Numbers (0)
Introduction (0)
Psychiatric Aid in the Grammar Schools (0)
Backlog and You (0)
TABLE OP CONTENTS (0)
Stretch Slim Shirt Fit Slim Fit Stretch wgSqx4BF--qualitycontentsolutions.com (0)
FREE MONADIC ALGEBRAS1 (0)
Art and Social Change (0)
Introduction a la the'orie des ensembles (0)
Banach Spaces and Hilbert Spaces (0)
Some books on linear algebra (0)
Henkin L.. La structure algébrique des théories matérmatiques . Collection de logique mathématique, série A. Gauthier-Villars, Paris; E. Nauwelaerts, Louvain; 1956, 52 pp. (0)
Robinson Abraham. Théorie métamathématique des idéaux . Collection de logique mathématique, série A. Dactyl-offset. Gauthier-Villars, Paris; E. Nauwelaerts, Louvain; 1955, 186 pp. (0)
De la tutelle à l'autonomie: un projet d'appartement relais thérapeutique (0)
Review: L. Henkin, La Structure Algebrique des Theories Mathematiques (0)
Winning the war (0)
Advanced Problems: 6423-6426 (0)
A. H. Copeland Sr. Note on cylindric algebras and polyadic algebras. Michigan mathematical journal , vol. 3 (1955–1956) pp. 155–157. (0)
[Bilateral facial paralysis following fracture of the petrous pyramid]. (0)
Review: Oscar Varsavsky, Quantifiers and Equivalence Relations (0)
Community Integration and the Community Centres (0)
LIST OF NOTATIONS (0)
Strong Operator Topology (0)
Problems for Solution: 4176-4180 (0)
Examples of Spectra (0)
[Giant cell bone tumors]. (0)
The Axiom of Choice (0)
The Harmony of the World: Logic from A to G (0)
The Sociological Review Monograph No. 3: Moral Issues in the Training of Teachers and Social Workers (0)
Boundedness and Invertibility (0)
Duality for homomorphisms (0)
Chapter III. ORTHOGONALITY (0)
Japanese Sociological Studies (0)
Boolean measure spaces (0)
The homomorphism theorem (0)
[Fixation of a fractured mastoid process using adhesives]. (0)
About books (0)
Henkin L.. The representation theorem for cylindrical algebras. Mathematical interpretation of formal systems, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam 1955, pp. 85–97. (0)
A great university (0)
Regular open sets (0)
ON THE COHOMOLOGY OF TWO-STAGE POSTNIKOV SYSTEMS BY LEIF KRISTENSEN (0)
Introduction to welfare : concepts and history (0)
Book Review Department : HOMO SOCIOLOGICUS, by Ralf Dahrendorf, Routledge & Kegan Paul, 1973, V + 97pp. £1:60p (0)
Isomorphisms of countable factors (0)
Halmos 75th birthday volume (0)
The Axiom of Specification (0)
Transformations and Functions (0)
The fabulous fifties (0)
Allen L. Shields (0)
Social Science and Social Change (0)
Learning to think (0)
Naive Set Theory.@@@Axiomatic Set Theory. (0)
About books (0)
Chapter I. SPACES (0)
Linear Algebra Problem Book: Inner Product Spaces (0)
Finite joins and meets (0)
Problems for Solution: E636-E640 (0)
The Work of F. Riesz (0)
Book Review: Lezioni sulla teoria moderna dell'integrazione (0)
Latin American Sociological Studies (0)
Reading and writing and ’rithmetic (0)
The Personal and the Political (RLE Social Theory) : Social Work and Political Action (0)
Matrices I have met (0)
Japanese Sociological Studies. (0)
Selecta: Expository Writing (0)
NOTE ON ALMOST-UNIVERSAL FORMSJ (0)
Advanced Problems: 5727-5733 (0)
Higher Education in Britain: A Review Essay@@@Sociological Studies in British University Education. (0)
Sums of algebras (0)
The Beauty of Doing Mathematics. By Serge Lang (0)
Problems for Solution: 4658-4662 (0)
To Sydney, to Moscow, and back (0)
Some Moral Issues of Mental Health Training in Professional Education (0)
APPENDIX III. HILBERT SPACE (0)
Review: L. Henkin, The Representation Theorem for Cylindrical Algebras (0)
Duality for ideals (0)
Mathematics from poland. (0)
Examples of Compactness (0)
Co je to učit (0)
INDEX OF DEFINITIONS (0)
Vectors and spaces (0)
CMPT-497, Course Information, Spring 2010 (0)
The countable chain condition (0)
NPTEL COURSE ON QUANTUM PHYSICS (0)
Problems for Solution: 4097-4100 (0)

This paper list is powered by the following services:

Other Resources About Paul Halmos

en.wikipedia.org

What Schools Are Affiliated With Paul Halmos?

Paul Halmos is affiliated with the following schools:

Paul Halmos's AcademicInfluence.com Rankings