Means of Hilbert Space Operators

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  • Means of Hilbert Space Operators Book Detail

  • Author : Fumio Hiai
  • Release Date : 2003-12-09
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 151
  • ISBN 13 : 3540451528
  • File Size : 76,76 MB

Means of Hilbert Space Operators by Fumio Hiai PDF Summary

Book Description: 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.

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Means of Hilbert Space Operators

Means of Hilbert Space Operators

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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 an