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William B. Johnson

William B. Johnson

D-Index & Metrics

Mathematics

D-Index
44
Citations
12346
World Ranking
1544
National Ranking
666

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

William B. Johnson is affiliated with Texas A&M University in the United States. Their research primarily focuses on the broad field of Mathematics, with contributions in specialized subfields including Mathematical Physics, Applied Mathematics, Algebra and Number Theory, Statistics and Probability, and Geometry and Topology.

The main topics covered by their work include:

  • Advanced Banach Space Theory
  • Holomorphic and Operator Theory
  • Advanced Topics in Algebra
  • Mathematical Analysis and Transform Methods
  • Approximation Theory and Sequence Spaces
  • Advanced Operator Algebra Research
  • Advanced Topology and Set Theory

William B. Johnson has published in the following venues:

  • arXiv (Cornell University)
  • Acta Mathematica
  • Journal of Functional Analysis
  • Bulletin of the London Mathematical Society

Representative recent papers include:

  • The number of closed ideals in L(L_p), 2021, Acta Mathematica
  • The number of closed ideals in L(L_p), 2020, arXiv (Cornell University)
  • The SHAI property for the operators on L, 2021, Journal of Functional Analysis
  • The SHAI property for the operators on Lp, 2021, arXiv (Cornell University)
  • Approximate identities for Ideals in L(Lp), 2024, arXiv (Cornell University)

Frequent collaborators in their research include:

  • Gideon Schechtman
  • N. Christopher Phillips

William B. Johnson was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Extensions of Lipschitz mappings into a Hilbert space

    W. B. Johnson

  • Handbook of the Geometry of Banach spaces

    W. B. Johnson;Joram Lindenstrauss

  • Factoring weakly compact operators

    W.J Davis;W.J Davis;T Figiel;T Figiel;W.B Johnson;W.B Johnson;A Pelczynski;A Pelczynski

  • On bases, finite dimensional decompositions and weaker structures in Banach spaces

    W. B. Johnson;W. B. Johnson;H. P. Rosenthal;H. P. Rosenthal;M. Zippin;M. Zippin

  • Fundamentals of Impedance Spectroscopy

    J. Ross Macdonald;William B. Johnson

  • Symmetric Structures in Banach Spaces

    W. B. Johnson;B. Maurey;G. Schechtman;L. Tzafriri

  • Chapter 1 - Basic Concepts in the Geometry of Banach Spaces

    William B. Johnson;Joram Lindenstrauss

  • On ω*-basic sequences and their applications to the study of Banach spaces

    W. B. Johnson;H. P. Rosenthal

  • Extensions of lipschitz maps into Banach spaces

    William B. Johnson;William B. Johnson;Joram Lindenstrauss;Joram Lindenstrauss;Gideon Schechtman;Gideon Schechtman

  • Best Constants in Moment Inequalities for Linear Combinations of Independent and Exchangeable Random Variables

    W. B. Johnson

  • On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces

    T Figiel;T Figiel;W.B Johnson;L Tzafriri;L Tzafriri

  • Some remarks on weakly compactly generated banach spaces

    W. B. Johnson;W. B. Johnson;J. Lindenstrauss;J. Lindenstrauss

  • Sums of Independent Random Variables in Rearrangement Invariant Function Spaces

    William B. Johnson;G. Schechtman

  • Factoring compact operators

    William B. Johnson

  • On Tsirelson’s space

    P. G. Casazza;W. B. Johnson;L. Tzafriri

  • Lipschitz $p$-summing operators

    Jeffrey D. Farmer;William B. Johnson

  • On uncomplemented subspaces of L p, 1 <p <2

    G. Bennett;L. E. Dor;V. Goodman;W. B. Johnson

  • A complementary universal conjugate Banach space and its relation to the approximation problem

    William B. Johnson

  • On Banach spaces whose dual balls are not weak∗ sequentially compact

    J. Hagler;W. B. Johnson

  • Affine Approximation of Lipschitz Functions and Nonlinear Quotients

    S. Bates;W. B. Johnson;J. Lindenstrauss;D. Preiss

  • Eigenvalues of p-summing and lp-type operators in Banach spaces

    W.B. Johnson;W.B. Johnson;H. König;B. Maurey;B. Maurey;J.R. Retherford

  • Handbook of geometry of Banach spaces

    W. B. Johnson;Joram Lindenstrauss

Frequent Co-Authors

Gideon Schechtman
Gideon Schechtman Weizmann Institute of Science
Gilles Pisier
Gilles Pisier Texas A&M University
Joram Lindenstrauss
Joram Lindenstrauss Hebrew University of Jerusalem
Assaf Naor
Assaf Naor Princeton University
Nassif Ghoussoub
Nassif Ghoussoub University of British Columbia
Haskell P. Rosenthal
Haskell P. Rosenthal The University of Texas at Austin
Peter G. Casazza
Peter G. Casazza University of Missouri
Charles M. Newman
Charles M. Newman Courant Institute of Mathematical Sciences
M. Sam Mannan
M. Sam Mannan Texas A&M University
David R. Jackson
David R. Jackson University of Houston

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