書誌事項

Means of Hilbert space operators

Fumio Hiai, Hideki Kosaki

(Lecture notes in mathematics, 1820)

Springer, c2003

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注記

Bibliography: p. [141]-144

Includes index

内容説明・目次

内容説明

The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.

目次

Introduction.- Double integral transformations.- Means of operators and their comparison.- Convergence of means.- A-L-G interpolation means Ma.- Heinz-type means Aa.- Binomial means Ba.- Certain alternating sums of operators.- Appendices.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BA63413508
  • ISBN
    • 3540406808
  • 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 ; Tokyo
  • ページ数/冊数
    viii, 148 p.
  • 大きさ
    24 cm
  • 親書誌ID
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