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Means Of Hilbert Space Operators (Lecture Notes In Mathematics)

3/5 ( ratings)

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 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.

Language: English

Format: Paperback

Publisher: Springer

Release: August 19, 2003

ISBN: 3540406808

ISBN 13: 9783540406808

Means Of Hilbert Space Operators (Lecture Notes In Mathematics)

3/5 ( ratings)

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 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.

Language: English

Format: Paperback

Publisher: Springer

Release: August 19, 2003

ISBN: 3540406808

ISBN 13: 9783540406808

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