Introduction to tensor products of Banach spaces

著者

    • Ryan, Raymond A.

書誌事項

Introduction to tensor products of Banach spaces

Raymond A. Ryan

(Springer monographs in mathematics)

Springer, c2002

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注記

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

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA55605751
  • ISBN
    • 1852334371
  • LCCN
    2001049821
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    London
  • ページ数/冊数
    xiv, 225 p.
  • 大きさ
    24 cm
  • 親書誌ID
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