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  • © 2016

Nigel J. Kalton Selecta

Volume 1

Birkhäuser
  • Presents Nigel Kalton’s most influential articles
  • Features comments by a panel of leading experts
  • Presents some of his unpublished work for the first time
  • Provides a useful guide to contemporary analysis

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xiv
  2. Nigel J. Kalton Curriculum Vitae

    • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
    Pages 1-19
  3. Nonlocally Convex Spaces and Submeasures

    1. Front Matter

      Pages 21-21
    2. Curves with Zero Derivative in F-Spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 23-38
    3. The Endomorphisms of L p (0 ≤ p ≥ 1)

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 39-70
    4. Uniformly Exhaustive Submeasures and Nearly Additive set Functions

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 71-89
    5. Banach Envelopes of Non-Locally Convex Spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 91-117
    6. The basic sequence problem

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 119-146
  4. Differential Games

    1. Front Matter

      Pages 147-147
    2. Valves in Differential Games

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 149-231
  5. Operator Theory

    1. Front Matter

      Pages 233-233
    2. A Note on Pairs of Projections

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 235-242
    3. Operators with an absolute functional calculus

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 243-296
    4. A solution to the problem of LP -maximal regularity

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 297-323
    5. Solution of a Problem of Peller Concerning Similarity

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 325-338
    6. A remark on the H-calculus

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 339-353
    7. Remarks on and -Maximal Regularity for Power-Bounded Operators

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 355-381
    8. Unusual Traces on Operator Ideals

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 383-457
    9. Symmetric norms and spaces of operators

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 459-505
  6. Harmonic Analysis and PDEs

    1. Front Matter

      Pages 507-507

About this book

This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.

Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Editors and Affiliations

  • Department of Mathematics, University of Missouri, Columbia, USA

    Fritz Gesztesy, Loukas Grafakos, Igor Verbitsky

  • Université Pierre et Marie Curie Institut de Mathématiques de Jussieu, Paris, France

    Gilles Godefroy

About the editors

Fritz Gesztesy works in areas of Mathematical Physics with emphasis on Spectral Theory and Differential Operators.

Gilles Godefroy works in functional analysis, and particularly in geometry of Banach spaces.

Loukas Grafakos works in the area of Fourier Analysis and Applications.

Igor Verbitsky works in the areas of Harmonic Analysis and Partial Differential Equations.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access