Infinite dimensional analysis : a hitchhiker's guide

書誌事項

Infinite dimensional analysis : a hitchhiker's guide

Charalambos D. Aliprantis, Kim C. Border

Springer, 2006

3rd ed

  • : pbk

大学図書館所蔵 件 / 34

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注記

"with 38 figures and 1 table"

Includes bibliographical references (p. [667]-680) and index

内容説明・目次

内容説明

What you'll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the topological structures in connection with a number of topic areas such as measure theory, convexity, and Banach lattices, as well as covering the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature.

目次

Odds and ends.- Topology.- Metrizable spaces.- Measurability.- Topological vector spaces.- Normed spaces.- Convexity.- Riesz spaces.- Banach lattices.- Charges and measures.- Integrals.- Measures and topology.- Lp-spaces.- Riesz Representation Theorems.- Probability measures.- Spaces of sequences.- Correspondences.- Measurable correspondences.- Markov transitions.- Ergodicity.

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詳細情報

  • NII書誌ID(NCID)
    BA77120009
  • ISBN
    • 3540295860
    • 9783540326960
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xxii, 703 p.
  • 大きさ
    24 cm
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