Means of Hilbert Space Operators

Means of Hilbert Space Operators
Author :
Publisher : Springer
Total Pages : 151
Release :
ISBN-10 : 9783540451525
ISBN-13 : 3540451528
Rating : 4/5 (528 Downloads)

Book Synopsis Means of Hilbert Space Operators by : Fumio Hiai

Download or read book Means of Hilbert Space Operators written by Fumio Hiai and published by Springer. This book was released on 2003-12-09 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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