Means of Hilbert Space Operators (Lecture Notes in Mathematics, 1820, Band 1820) - Softcover

Hiai, Fumio; Kosaki, Hideki

 
9783540406808: Means of Hilbert Space Operators (Lecture Notes in Mathematics, 1820, Band 1820)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

The author is currently Professor Emeritus at Tohoku University.

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9783662161982: Means of Hilbert Space Operators

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ISBN 10:  3662161982 ISBN 13:  9783662161982
Verlag: Springer, 2014
Softcover