Irving Glicksberg

4.9k total citations · 1 hit paper
86 papers, 3.2k citations indexed

About

Irving Glicksberg is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Irving Glicksberg has authored 86 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 26 papers in Computational Theory and Mathematics and 26 papers in Applied Mathematics. Recurrent topics in Irving Glicksberg's work include Advanced Topics in Algebra (18 papers), Holomorphic and Operator Theory (10 papers) and Advanced Topology and Set Theory (9 papers). Irving Glicksberg is often cited by papers focused on Advanced Topics in Algebra (18 papers), Holomorphic and Operator Theory (10 papers) and Advanced Topology and Set Theory (9 papers). Irving Glicksberg collaborates with scholars based in United States, Slovakia and India. Irving Glicksberg's co-authors include Henry Helson, Oliver Gross, Richard Bellman, Karel DeLeeuw, Ky Fan, K. de Leeuw, Alan J. Hoffman, John Wermer, D. R. Fulkerson and Edwin Hewitt and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Nucleic Acids Research and Management Science.

In The Last Decade

Irving Glicksberg

76 papers receiving 2.2k citations

Hit Papers

A further generalization of the Kakutani fixed theorem, w... 1952 2026 1976 2001 1952 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. A further generalization of the Kakutani fixed theorem, with application to Nash equilibrium points
    1952 536 citations Irving Glicksberg Proceedings of the American Mathematical Society profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Irving Glicksberg United States 27 965 872 770 723 508 86 3.2k
J. T. Schwartz United States 11 932 1.0× 819 0.9× 586 0.8× 274 0.4× 157 0.3× 30 2.2k
Ky Fan United States 29 876 0.9× 1.3k 1.4× 2.9k 3.8× 1.9k 2.6× 332 0.7× 90 5.1k
Victor Klee United States 40 970 1.0× 955 1.1× 2.1k 2.7× 1.4k 2.0× 300 0.6× 210 4.6k
Charalambos D. Aliprantis United States 26 2.1k 2.2× 1.6k 1.8× 1.0k 1.3× 728 1.0× 386 0.8× 121 5.5k
Robert G. Bartle United States 17 585 0.6× 484 0.6× 435 0.6× 194 0.3× 123 0.2× 37 1.8k
Donald J. Newman United States 25 311 0.3× 585 0.7× 397 0.5× 278 0.4× 200 0.4× 160 2.1k
B. Schweizer United States 17 481 0.5× 374 0.4× 831 1.1× 809 1.1× 50 0.1× 40 3.1k
John Riordan United States 21 454 0.5× 317 0.4× 673 0.9× 453 0.6× 717 1.4× 65 3.2k
Gustave Choquet France 13 352 0.4× 421 0.5× 675 0.9× 274 0.4× 48 0.1× 45 3.1k
Alan J. Hoffman United States 28 168 0.2× 328 0.4× 2.2k 2.8× 868 1.2× 165 0.3× 112 4.0k

Countries citing papers authored by Irving Glicksberg

Since Specialization
Citations

This map shows the geographic impact of Irving Glicksberg's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Irving Glicksberg with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Irving Glicksberg more than expected).

Fields of papers citing papers by Irving Glicksberg

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Irving Glicksberg. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Irving Glicksberg. The network helps show where Irving Glicksberg may publish in the future.

Co-authorship network of co-authors of Irving Glicksberg

This figure shows the co-authorship network connecting the top 25 collaborators of Irving Glicksberg. A scholar is included among the top collaborators of Irving Glicksberg based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Irving Glicksberg. Irving Glicksberg is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Glicksberg, Irving. (2005). Recent Results on Function Algebras.
2.
Glicksberg, Irving. (1984). The strong conclusion of the F. and M. Riesz theorem on groups. Transactions of the American Mathematical Society. 285(1). 235–240. 1 indexed citations
3.
Glicksberg, Irving. (1983). Spectra of invariant uniform and transform algebras. Transactions of the American Mathematical Society. 277(1). 381–396. 4 indexed citations
4.
Glicksberg, Irving. (1983). A controlled approach to Liapounoff convexity. Journal of Mathematical Analysis and Applications. 94(1). 193–196. 2 indexed citations
5.
Brown, Gavin, Irving Glicksberg, & Edwin Hewitt. (1983). Indicator functions with large Fourier transforms. Pacific Journal of Mathematics. 105(1). 11–20. 16 indexed citations
6.
Glicksberg, Irving. (1981). Equivalence of certain representing measures. Proceedings of the American Mathematical Society. 82(3). 374–376. 2 indexed citations
7.
Glicksberg, Irving. (1981). An application of Wermer’s subharmonicity theorem. Pacific Journal of Mathematics. 94(2). 315–326. 18 indexed citations
8.
Glicksberg, Irving. (1979). Boundary continuity of some holomorphic functions. Pacific Journal of Mathematics. 80(2). 425–434. 27 indexed citations
9.
Glicksberg, Irving, et al.. (1971). Multipliers of quotients ofL1. Pacific Journal of Mathematics. 38(3). 619–624. 25 indexed citations
10.
Glicksberg, Irving. (1970). Extensions of the F. and M. Riesz theorem. Journal of Functional Analysis. 5(1). 125–136. 2 indexed citations
11.
Glicksberg, Irving. (1968). Dominant representing measures and rational approximation. Transactions of the American Mathematical Society. 130(3). 425–462. 12 indexed citations
12.
Glicksberg, Irving. (1966). Correction to: “Maximal algebras and a theorem of Radó”. Pacific Journal of Mathematics. 19(3). 587–587. 1 indexed citations
13.
Glicksberg, Irving. (1962). Measures orthogonal to algebras and sets of antisymmetry. Transactions of the American Mathematical Society. 105(3). 415–435. 66 indexed citations
14.
Glicksberg, Irving. (1961). Weak compactness and separate continuity. Pacific Journal of Mathematics. 11(1). 205–214. 66 indexed citations
15.
DeLeeuw, Karel & Irving Glicksberg. (1961). Applications of almost periodic compactifications. Acta Mathematica. 105(1-2). 63–97. 206 indexed citations
16.
Glicksberg, Irving. (1960). A remark on some almost periodic compactifications.. The Michigan Mathematical Journal. 7(2). 1 indexed citations
17.
Glicksberg, Irving. (1959). Convolution semigroups of measures. Pacific Journal of Mathematics. 9(1). 51–67. 63 indexed citations
18.
Fan, Ky, et al.. (1957). Systems of Inequalities Involving Convex Functions. Proceedings of the American Mathematical Society. 8(3). 617–617. 13 indexed citations
19.
Fan, Ky, Irving Glicksberg, & Alan J. Hoffman. (1957). Systems of inequalities involving convex functions. Proceedings of the American Mathematical Society. 8(3). 617–622. 63 indexed citations
20.
Bellman, Richard, John M. Danskin, & Irving Glicksberg. (1951). A Bibliography of the Theory and Application of Differential-Difference, Renewal, and Related Functional Equations. Nucleic Acids Research. 22(13). 2658–66. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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