Kenneth R. Davidson

4.3k total citations · 1 hit paper
118 papers, 1.8k citations indexed

About

Kenneth R. Davidson is a scholar working on Algebra and Number Theory, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Kenneth R. Davidson has authored 118 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Algebra and Number Theory, 75 papers in Mathematical Physics and 45 papers in Applied Mathematics. Recurrent topics in Kenneth R. Davidson's work include Advanced Topics in Algebra (75 papers), Advanced Operator Algebra Research (62 papers) and Holomorphic and Operator Theory (39 papers). Kenneth R. Davidson is often cited by papers focused on Advanced Topics in Algebra (75 papers), Advanced Operator Algebra Research (62 papers) and Holomorphic and Operator Theory (39 papers). Kenneth R. Davidson collaborates with scholars based in Canada, United States and United Kingdom. Kenneth R. Davidson's co-authors include David R. Pitts, Elias G. Katsoulis, Allan P. Donsig, S. C. Power, Dilian Yang, Vern I. Paulsen, Orr Moshe Shalit, Ivan L. Sander, Richard C. Schlesinger and Ina Berg and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Kenneth R. Davidson

107 papers receiving 1.5k citations

Hit Papers

C*-Algebras by Example 1996 2026 2006 2016 1996 100 200 300 400
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. C*-Algebras by Example
    1996 434 citations Kenneth R. Davidson American Mathematical Society eBooks profile →

Peers

Kenneth R. Davidson
Thomas Ransford Canada
John Holbrook Canada
John Pym United Kingdom
Maurizio Cornalba Italy
Masayoshi Hata Japan
Hanspeter Kraft Switzerland
Ebbe Thue Poulsen Denmark
G. Lumer Belgium
Alan McIntosh Australia
Joseph Rosenblatt United States
Thomas Ransford Canada
Kenneth R. Davidson
Citations per year, relative to Kenneth R. Davidson Kenneth R. Davidson (= 1×) peers Thomas Ransford

Countries citing papers authored by Kenneth R. Davidson

Since Specialization
Citations

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

Fields of papers citing papers by Kenneth R. Davidson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kenneth R. Davidson. 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 Kenneth R. Davidson. The network helps show where Kenneth R. Davidson may publish in the future.

Co-authorship network of co-authors of Kenneth R. Davidson

This figure shows the co-authorship network connecting the top 25 collaborators of Kenneth R. Davidson. A scholar is included among the top collaborators of Kenneth R. Davidson 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 Kenneth R. Davidson. Kenneth R. Davidson 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.
Rogers, Alistair, Kim Ely, & Kenneth R. Davidson. (2024). Plant Physiology, Alder and Willow Species, Seward Peninsula, Alaska, 2019. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1 indexed citations
2.
Chiribella, Giulio, et al.. (2023). Counterexamples to the extendibility of positive unital norm-one maps. Linear Algebra and its Applications. 663. 102–115. 2 indexed citations
3.
Davidson, Kenneth R., et al.. (2014). Operator algebras for analytic varieties. Transactions of the American Mathematical Society. 367(2). 1121–1150. 18 indexed citations
4.
Davidson, Kenneth R., et al.. (2011). The isomorphism problem for some universal operator algebras. Advances in Mathematics. 228(1). 167–218. 27 indexed citations
5.
Davidson, Kenneth R. & Dilian Yang. (2008). A note on absolute continuity in free semigroup algebras. Houston journal of mathematics. 34(1). 283–288. 1 indexed citations
6.
Davidson, Kenneth R. & Dragomir Ž. Ðoković. (2005). Tridiagonal forms in low dimensions. Linear Algebra and its Applications. 407. 169–188. 5 indexed citations
7.
Davidson, Kenneth R., Jiankui Li, & David R. Pitts. (2004). Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras. Journal of Functional Analysis. 224(1). 160–191. 15 indexed citations
8.
Davidson, Kenneth R., Elias G. Katsoulis, & Justin R. Peters. (2003). Meet-irreducible ideals and representations of limit algebras. Journal of Functional Analysis. 200(1). 23–30. 4 indexed citations
9.
Davidson, Kenneth R. & Vern I. Paulsen. (1997). Polynomially bounded operators.. Journal für die reine und angewandte Mathematik (Crelles Journal). 487. 153–170. 20 indexed citations
10.
Davidson, Kenneth R.. (1996). C*-Algebras by Example. American Mathematical Society eBooks. 434 indexed citations breakdown →
11.
Davidson, Kenneth R., K. J. Harrison, & Ute Mueller. (1995). Rank decomposability in incident spaces. Linear Algebra and its Applications. 230. 3–19. 3 indexed citations
12.
Davidson, Kenneth R.. (1995). When Locally Contractive Representations Are Completely Contractive. Journal of Functional Analysis. 128(1). 186–225. 7 indexed citations
13.
Davidson, Kenneth R., et al.. (1994). The Jacobson radical of a CSL algebra. Transactions of the American Mathematical Society. 344(2). 925–947.
14.
Davidson, Kenneth R.. (1988). Nest algebras : triangular forms for operator algebras on Hilbert space. 45 indexed citations
15.
Davidson, Kenneth R.. (1986). Approximate unitary equivalence of continuous nests. Proceedings of the American Mathematical Society. 97(4). 655–660. 6 indexed citations
16.
Davidson, Kenneth R.. (1986). Approximate Unitary Equivalence of Continuous Nests. Proceedings of the American Mathematical Society. 97(4). 655–655. 3 indexed citations
17.
Davidson, Kenneth R.. (1984). Approximate unitary equivalence of power partial isometries. Proceedings of the American Mathematical Society. 91(1). 81–84. 1 indexed citations
18.
Davidson, Kenneth R.. (1984). The distance between unitary orbits of normal elements in the Calkin algebra. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 99(1-2). 35–43. 6 indexed citations
19.
Davidson, Kenneth R.. (1982). Lifting commuting pairs of C∗ algebras. Journal of Functional Analysis. 48(1). 20–42. 3 indexed citations
20.
Davidson, Kenneth R.. (1981). A Proof of the Boundary Theorem. Proceedings of the American Mathematical Society. 82(1). 48–48. 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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