Arlen Brown

1.6k total citations
27 papers, 862 citations indexed

About

Arlen Brown is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Arlen Brown has authored 27 papers receiving a total of 862 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 14 papers in Computational Theory and Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Arlen Brown's work include Holomorphic and Operator Theory (14 papers), Matrix Theory and Algorithms (13 papers) and Advanced Topics in Algebra (8 papers). Arlen Brown is often cited by papers focused on Holomorphic and Operator Theory (14 papers), Matrix Theory and Algorithms (13 papers) and Advanced Topics in Algebra (8 papers). Arlen Brown collaborates with scholars based in United States and Canada. Arlen Brown's co-authors include Carl Pearcy, Paul R. Halmos, Norberto Salinas, R. G. Douglas, David M. Topping, C. K. Fong and Hari Bercovici and has published in prestigious journals such as Annals of Mathematics, American Mathematical Monthly and Bulletin of the American Mathematical Society.

In The Last Decade

Arlen Brown

27 papers receiving 620 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Arlen Brown United States	13	656	442	299	225	123	27	862
Domingo A. Herrero United States	14	817 1.2×	598 1.4×	392 1.3×	259 1.2×	150 1.2×	100	966
Theodore W. Palmer United States	13	296 0.5×	649 1.5×	519 1.7×	187 0.8×	164 1.3×	28	893
William G. Bade United States	17	294 0.4×	570 1.3×	411 1.4×	215 1.0×	124 1.0×	31	834
Joseph G. Stampfli United States	17	907 1.4×	672 1.5×	421 1.4×	512 2.3×	127 1.0×	46	1.2k
C. E. Rickart United States	8	295 0.4×	637 1.4×	613 2.1×	240 1.1×	205 1.7×	17	989
K. de Leeuw United States	12	338 0.5×	357 0.8×	142 0.5×	153 0.7×	110 0.9×	24	620
Patrick Ahern United States	22	918 1.4×	343 0.8×	193 0.6×	117 0.5×	367 3.0×	69	1.1k
Andrzej Hulanicki Poland	15	416 0.6×	527 1.2×	121 0.4×	108 0.5×	207 1.7×	63	732
Bertram Yood United States	15	168 0.3×	444 1.0×	476 1.6×	223 1.0×	202 1.6×	57	799
Bernard Aupetit Canada	14	579 0.9×	664 1.5×	667 2.2×	209 0.9×	131 1.1×	44	944

Countries citing papers authored by Arlen Brown

Since Specialization

Citations

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

Fields of papers citing papers by Arlen Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arlen Brown

This figure shows the co-authorship network connecting the top 25 collaborators of Arlen Brown. A scholar is included among the top collaborators of Arlen Brown 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 Arlen Brown. Arlen Brown is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Bercovici, Hari, Arlen Brown, & Carl Pearcy. (2016). Measure and Integration. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations

Brown, Arlen & Carl Pearcy. (1995). An Introduction to Analysis. Graduate texts in mathematics. 15 indexed citations

Brown, Arlen & Carl Pearcy. (1977). Jordan Loops and Decompositions of Operators. Canadian Journal of Mathematics. 29(5). 1112–1119. 1 indexed citations

Brown, Arlen & Carl Pearcy. (1977). Introduction to Operator Theory I. Graduate texts in mathematics. 29 indexed citations

Brown, Arlen, Carl Pearcy, & Norberto Salinas. (1973). Perturbations by nilpotent operators on Hilbert space. Proceedings of the American Mathematical Society. 41(2). 530–534. 5 indexed citations

Brown, Arlen, Carl Pearcy, & Norberto Salinas. (1973). Perturbations by Nilpotent Operators on Hilbert Space. Proceedings of the American Mathematical Society. 41(2). 530–530. 6 indexed citations

Brown, Arlen. (1969). An Elementary Example of a Continuous Singular Function. American Mathematical Monthly. 76(3). 295–295. 1 indexed citations

Brown, Arlen, et al.. (1969). Toward an algebraic theory of the analysis and testing of digital networks.. NASA Technical Reports Server (NASA). 2 indexed citations

Brown, Arlen, Carl Pearcy, & David M. Topping. (1968). Commutators and the strong radical. Duke Mathematical Journal. 35(4). 9 indexed citations

10.

Brown, Arlen & Carl Pearcy. (1968). Operators of the form PAQ-QAP. Canadian Journal of Mathematics. 20. 1353–1361. 3 indexed citations

11.

Brown, Arlen & Carl Pearcy. (1966). Commutators in Factors of Type III. Canadian Journal of Mathematics. 18. 1152–1160. 16 indexed citations

12.

Brown, Arlen & Carl Pearcy. (1966). Multiplicative Commutators of Operators. Canadian Journal of Mathematics. 18. 737–749. 14 indexed citations

13.

Brown, Arlen & Carl Pearcy. (1966). Spectra of Tensor Products of Operators. Proceedings of the American Mathematical Society. 17(1). 162–162. 33 indexed citations

14.

Brown, Arlen & Carl Pearcy. (1966). Spectra of tensor products of operators. Proceedings of the American Mathematical Society. 17(1). 162–162. 87 indexed citations

15.

Brown, Arlen & Carl Pearcy. (1965). Structure of Commutators of Operators. Annals of Mathematics. 82(1). 112–112. 96 indexed citations

16.

Brown, Arlen, et al.. (1965). Partially Isometric Toeplitz Operators. Proceedings of the American Mathematical Society. 16(4). 681–681. 2 indexed citations

17.

Brown, Arlen, Paul R. Halmos, & Carl Pearcy. (1965). Commutators of Operators on Hilbert Space. Canadian Journal of Mathematics. 17. 695–708. 16 indexed citations

18.

Halmos, Paul R. & Arlen Brown. (1964). Algebraic Properties of Toeplitz operators.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1964(213). 89–102. 317 indexed citations

19.

Brown, Arlen & Carl Pearcy. (1964). Structure theorem for commutators of operators. Bulletin of the American Mathematical Society. 70(6). 779–780. 2 indexed citations

20.

Brown, Arlen. (1953). On a class of operators. Proceedings of the American Mathematical Society. 4(5). 723–728. 103 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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