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  • © 2016

Nigel J. Kalton Selecta

Volume 2

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  • Presents some of his unpublished work for the first time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 (21 chapters)

  1. Front Matter

    Pages i-xiii
  2. Approximation Theory

    1. Front Matter

      Pages 1-1
    2. Polynomial Approximation on Convex Subsets of Rn

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 3-48
    3. The Thresholding Greedy Algorithm, Greedy Bases, and Duality

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 49-78
    4. Convergence of the weak dual greedy algorithm in L p -spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 79-91
    5. On the existence of a lmost greedy bases in Banach spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 93-131
  3. Geometry and Banach Spaces

    1. Front Matter

      Pages 133-133
    2. The uniform structure of Banach spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 135-184
    3. The Three Space Problem for Locally Bounded F-Spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 185-262
    4. Orthonormal systems in Banach spaces and their applications

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 263-303
    5. Type and Order Convexity of Marcinkiewicz and Lorentz Spaces and Applications

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 305-324
    6. Spaces of Lipschitz and Hölder functions and their applications

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 325-376
    7. Distances between Banach spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 377-413
    8. Twisted Hilbert Spaces and Unconditional Structure

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 415-427
    9. M-Ideals of Compact Operators

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 429-456
    10. Property (M), M-ideals, and almost isometric structure of Banach spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 457-503
  4. Interpolation Theory

    1. Front Matter

      Pages 505-505
    2. An Overview of Nigel Kalton’s Work on Interpolation and Related Topics

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 507-515
    3. Differentials of Complex Interpolation Processes for Köthe Function Spaces

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 517-578
    4. A Unified Theory of Commutator Estimates for a Class of Interpolation Methods

      • Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
      Pages 579-664

About this book

This is the second 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