William B. Johnson

8.7k total citations · 1 hit paper
160 papers, 3.6k citations indexed

About

William B. Johnson is a scholar working on Mathematical Physics, Applied Mathematics and Statistics and Probability. According to data from OpenAlex, William B. Johnson has authored 160 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 100 papers in Mathematical Physics, 62 papers in Applied Mathematics and 49 papers in Statistics and Probability. Recurrent topics in William B. Johnson's work include Advanced Banach Space Theory (91 papers), Approximation Theory and Sequence Spaces (48 papers) and Holomorphic and Operator Theory (46 papers). William B. Johnson is often cited by papers focused on Advanced Banach Space Theory (91 papers), Approximation Theory and Sequence Spaces (48 papers) and Holomorphic and Operator Theory (46 papers). William B. Johnson collaborates with scholars based in United States, Israel and Poland. William B. Johnson's co-authors include Joram Lindenstrauss, Gideon Schechtman, T. Figiel, M. Zippin, Lior Tzafriri, William J. Davis, A. Pełczyński, Haskell P. Rosenthal, B. Maurey and Nassif Ghoussoub and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and SAE technical papers on CD-ROM/SAE technical paper series.

In The Last Decade

William B. Johnson

146 papers receiving 3.0k citations

Hit Papers

Handbook of geometry of Banach spaces 2001 2026 2009 2017 2001 100 200 300

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William B. Johnson United States 29 2.6k 1.8k 1.1k 665 450 160 3.6k
Gideon Schechtman Israel 25 980 0.4× 1.1k 0.6× 463 0.4× 406 0.6× 116 0.3× 100 2.1k
Albrecht Böttcher Germany 24 1.3k 0.5× 1.7k 0.9× 467 0.4× 250 0.4× 381 0.8× 145 3.1k
Nicole Tomczak-Jaegermann Canada 21 886 0.3× 1.1k 0.6× 581 0.5× 245 0.4× 132 0.3× 90 1.8k
Karl Stromberg United States 15 926 0.4× 1.0k 0.6× 336 0.3× 522 0.8× 269 0.6× 29 2.7k
Joram Lindenstrauss Israel 41 6.8k 2.6× 5.0k 2.8× 2.6k 2.4× 2.3k 3.5× 1.3k 2.8× 112 9.0k
R. R. Phelps United States 27 1.8k 0.7× 1.3k 0.7× 415 0.4× 1.0k 1.5× 307 0.7× 57 3.3k
Donald Ornstein United States 31 2.1k 0.8× 335 0.2× 302 0.3× 892 1.3× 149 0.3× 71 3.1k
Nelson Dunford United States 9 1.3k 0.5× 1.0k 0.6× 315 0.3× 321 0.5× 259 0.6× 13 2.5k
Assaf Naor United States 31 564 0.2× 746 0.4× 240 0.2× 608 0.9× 68 0.2× 125 2.6k
Van Vu United States 27 946 0.4× 290 0.2× 1.2k 1.1× 557 0.8× 57 0.1× 73 2.6k

Countries citing papers authored by William B. Johnson

Since Specialization
Citations

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

Fields of papers citing papers by William B. Johnson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William B. Johnson. 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 William B. Johnson. The network helps show where William B. Johnson may publish in the future.

Co-authorship network of co-authors of William B. Johnson

This figure shows the co-authorship network connecting the top 25 collaborators of William B. Johnson. A scholar is included among the top collaborators of William B. Johnson 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 William B. Johnson. William B. Johnson 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.
Figiel, T. & William B. Johnson. (2016). The Lidskii trace property and the nest approximation property in Banach spaces. Journal of Functional Analysis. 271(3). 566–576. 3 indexed citations
2.
Johnson, William B., et al.. (2016). Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support. Proceedings of the American Mathematical Society. 144(10). 4471–4485. 7 indexed citations
3.
Johnson, William B., et al.. (2009). Complementably universal Banach spaces, II. Journal of Functional Analysis. 257(11). 3395–3408. 4 indexed citations
4.
Johnson, William B. & Carla Hackworth. (2008). Human factors in maintenance. 3(3). 1 indexed citations
5.
Johnson, William B. & Gideon Schechtman. (2007). Multiplication operators on L(L_p) and $\ell_p$-strictly singular operators. Journal of the European Mathematical Society. 10(4). 1105–1119. 2 indexed citations
6.
Johnson, William B., et al.. (2006). l~p (p > 2) does not coarsely embed into a Hilbert space. Proceedings of the American Mathematical Society. 134(4). 1045–1050. 13 indexed citations
7.
Johnson, William B. & Joram Lindenstrauss. (2001). Handbook of geometry of Banach spaces. CERN Document Server (European Organization for Nuclear Research). 2. 326 indexed citations breakdown →
8.
Arias, Alvaro, T. Figiel, William B. Johnson, & Gideon Schechtman. (1995). Banach spaces with the 2-summing property. Transactions of the American Mathematical Society. 347(10). 3835–3857. 3 indexed citations
9.
Browning, Edgar K. & William B. Johnson. (1986). The Cost of Reducing Economic Inequality. Cato Journal. 6(1). 85–109. 1 indexed citations
10.
Johnson, William B., Hermann König, B. Maurey, & J. R. Retherford. (1979). Eigenvalues of p-summing and lp-type operators in Banach spaces. Journal of Functional Analysis. 32(3). 353–380. 55 indexed citations
11.
Johnson, William B.. (1977). On quotients of $L_p$ which are quotients of $\ell _p$. Compositio Mathematica. 34(1). 69–89. 28 indexed citations
12.
Johnson, William B. & Edward Odell. (1974). Subspaces of $L_p$ which embed into $l_p$. Compositio Mathematica. 28(1). 37–49. 37 indexed citations
13.
Figiel, T. & William B. Johnson. (1974). A uniformly convex Banach space which contains no $l_p$. Compositio Mathematica. 29(2). 179–190. 93 indexed citations
14.
Davis, William J., T. Figiel, William B. Johnson, & A. Pełczyński. (1974). Factoring weakly compact operators. Journal of Functional Analysis. 17(3). 311–327. 278 indexed citations
15.
Figiel, T. & William B. Johnson. (1973). The approximation property does not imply the bounded approximation property. Proceedings of the American Mathematical Society. 41(1). 197–197. 47 indexed citations
16.
Davis, William J. & William B. Johnson. (1973). A renorming of nonreflexive Banach spaces. Proceedings of the American Mathematical Society. 37(2). 486–486. 17 indexed citations
17.
Johnson, William B.. (1971). On the existence of strongly series summable Markuschevich bases in Banach spaces. Transactions of the American Mathematical Society. 157. 481–481. 22 indexed citations
18.
Johnson, William B.. (1971). On the Existence of Strongly Series Summable Markuschevich Bases in Banach Spaces. Transactions of the American Mathematical Society. 157. 481–481. 5 indexed citations
19.
Johnson, William B.. (1970). Markuschevich bases and duality theory. Transactions of the American Mathematical Society. 149(1). 171–177. 14 indexed citations
20.
Johnson, William B., et al.. (1969). Isomorphisms generated by fundamental and total sets. Proceedings of the American Mathematical Society. 22(2). 330–334.

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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