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Means of Hilbert Space Operators

Means of Hilbert Space Operators

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Lecture Notes in Mathematics

Means of Hilbert Space Operators

Fumio Hiai | Hideki Kosaki

Mathematics / Functional Analysis

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.


Publication Date: 19 August 2003
Publisher: Springer Berlin Heidelberg
Imprint: Springer
ISBN-13: 9783540406808
Format: Paperback / softback
Page Count: 156

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