Introduction to tensor products of Banach spaces

Author(s)

    • Ryan, Raymond A.

Bibliographic Information

Introduction to tensor products of Banach spaces

Raymond A. Ryan

(Springer monographs in mathematics)

Springer, c2002

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Note

Includes bibliographical references (p. [219]-221) and index

Description and Table of Contents

Description

This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.

Table of Contents

1 Tensor Products.- 2 The Projective Tensor Product.- 3 The Injective Tensor Product.- 4 The Approximation Property.- 5 The Radon-Nikodym Property.- 6 The Chevet-Saphar Tensor Products.- 7 Tensor Norms.- 8 Operator Ideals.- A Suggestions for Further Reading.- B Summability in Banach Spaces.- C Spaces of Measures.- References.

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Details

  • NCID
    BA55605751
  • ISBN
    • 1852334371
  • LCCN
    2001049821
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    London
  • Pages/Volumes
    xiv, 225 p.
  • Size
    24 cm
  • Parent Bibliography ID
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