Errett Bishop

4.8k total citations · 1 hit paper
39 papers, 2.4k citations indexed

About

Errett Bishop is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Errett Bishop has authored 39 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Applied Mathematics, 10 papers in Mathematical Physics and 8 papers in Computational Theory and Mathematics. Recurrent topics in Errett Bishop's work include Advanced Topics in Algebra (6 papers), advanced mathematical theories (5 papers) and Holomorphic and Operator Theory (4 papers). Errett Bishop is often cited by papers focused on Advanced Topics in Algebra (6 papers), advanced mathematical theories (5 papers) and Holomorphic and Operator Theory (4 papers). Errett Bishop collaborates with scholars based in United States and United Kingdom. Errett Bishop's co-authors include Abraham Robinson, Douglas Bridges, R. R. Phelps, K. de Leeuw, Ray Mines and Murray Rosenblatt and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Errett Bishop

36 papers receiving 1.7k citations

Hit Papers

Foundations of Constructive Analysis. 1968 2026 1987 2006 1968 200 400 600
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. Foundations of Constructive Analysis.
    1968 613 citations Abraham Robinson, Errett Bishop American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Errett Bishop United States 21 926 893 860 775 371 39 2.4k
Abraham Robinson United States 19 901 1.0× 815 0.9× 174 0.2× 449 0.6× 449 1.2× 57 2.1k
Kenneth Kunen United States 24 919 1.0× 794 0.9× 133 0.2× 1.4k 1.8× 473 1.3× 114 2.1k
A. Seidenberg United States 19 690 0.7× 278 0.3× 168 0.2× 844 1.1× 261 0.7× 53 1.9k
Fred Richman United States 22 771 0.8× 390 0.4× 107 0.1× 653 0.8× 338 0.9× 120 1.7k
Andrew M. Gleason United States 16 367 0.4× 358 0.4× 167 0.2× 429 0.6× 224 0.6× 42 1.4k
Donald Ornstein United States 31 846 0.9× 2.1k 2.3× 335 0.4× 892 1.2× 397 1.1× 71 3.1k
Douglas Bridges New Zealand 16 1.1k 1.1× 419 0.5× 107 0.1× 553 0.7× 534 1.4× 144 1.6k
Lee A. Rubel United States 22 405 0.4× 388 0.4× 710 0.8× 459 0.6× 113 0.3× 146 1.5k
John C. Oxtoby United States 11 483 0.5× 824 0.9× 298 0.3× 734 0.9× 105 0.3× 21 1.5k
Jan Mycielski United States 17 707 0.8× 381 0.4× 105 0.1× 586 0.8× 219 0.6× 113 1.3k

Countries citing papers authored by Errett Bishop

Since Specialization
Citations

This map shows the geographic impact of Errett Bishop'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 Errett Bishop with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Errett Bishop more than expected).

Fields of papers citing papers by Errett Bishop

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Errett Bishop. 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 Errett Bishop. The network helps show where Errett Bishop may publish in the future.

Co-authorship network of co-authors of Errett Bishop

This figure shows the co-authorship network connecting the top 25 collaborators of Errett Bishop. A scholar is included among the top collaborators of Errett Bishop 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 Errett Bishop. Errett Bishop 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.
Mines, Ray, Errett Bishop, & Douglas Bridges. (1988). Constructive Analysis.. American Mathematical Monthly. 95(2). 159–159. 7 indexed citations
2.
Bishop, Errett. (1986). Selected papers.
3.
Rosenblatt, Murray & Errett Bishop. (1985). Errett Bishop : reflections on him and his research : proceedings of the memorial meeting for Errett Bishop, September 24, 1983, University of California, San Diego. American Mathematical Society eBooks. 1 indexed citations
4.
Bishop, Errett. (1975). The crisis in contemporary mathematics. Historia Mathematica. 2(4). 507–517. 22 indexed citations
5.
Robinson, Abraham & Errett Bishop. (1968). Foundations of Constructive Analysis.. American Mathematical Monthly. 75(8). 920–920. 613 indexed citations breakdown →
6.
Bishop, Errett. (1965). Differentiable manifolds in complex Euclidean space. Duke Mathematical Journal. 32(1). 177 indexed citations
7.
Bishop, Errett. (1964). Representing measures for points in a uniform algebra. Bulletin of the American Mathematical Society. 70(1). 121–122. 28 indexed citations
8.
Bishop, Errett. (1962). Analyticity in certain Banach spaces. Transactions of the American Mathematical Society. 102(3). 507–544. 19 indexed citations
9.
Bishop, Errett. (1962). Analytic functions with values in a Frechet space. Pacific Journal of Mathematics. 12(4). 1177–1192. 23 indexed citations
10.
Bishop, Errett. (1962). A General Rudin-Carleson Theorem. Proceedings of the American Mathematical Society. 13(1). 140–140. 32 indexed citations
11.
Bishop, Errett. (1961). A generalization of the Stone-Weierstrass theorem. Pacific Journal of Mathematics. 11(3). 777–783. 104 indexed citations
12.
Bishop, Errett. (1959). Simultaneous Approximation by a Polynomial and its Derivatives. Proceedings of the American Mathematical Society. 10(5). 741–741.
13.
Bishop, Errett. (1959). Simultaneous approximation by a polynomial and its derivatives. Proceedings of the American Mathematical Society. 10(5). 741–743. 3 indexed citations
14.
Bishop, Errett & K. de Leeuw. (1959). The representations of linear functionals by measures on sets of extreme points. Annales de l’institut Fourier. 9. 305–331. 80 indexed citations
15.
Bishop, Errett. (1959). A minimal boundary for function algebras. Pacific Journal of Mathematics. 9(3). 629–642. 113 indexed citations
16.
Bishop, Errett. (1959). A duality theorem for an arbitrary operator. Pacific Journal of Mathematics. 9(2). 379–397. 85 indexed citations
17.
Bishop, Errett. (1958). Approximation by a Polynomial and Its Derivatives on Certain Closed Sets. Proceedings of the American Mathematical Society. 9(6). 946–946. 5 indexed citations
18.
Bishop, Errett. (1958). Approximation by a polynomial and its derivatives on certain closed sets. Proceedings of the American Mathematical Society. 9(6). 946–953. 3 indexed citations
19.
Bishop, Errett. (1958). The structure of certain measures. Duke Mathematical Journal. 25(2). 19 indexed citations
20.
Bishop, Errett. (1957). Spectral Theory for Operators on a Banach Space. Transactions of the American Mathematical Society. 86(2). 414–414. 13 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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