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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
Bibliographic Information
Book Title: Means of Hilbert Space Operators
Authors: Fumio Hiai, Hideki Kosaki
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b13213
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-40680-8Published: 19 August 2003
eBook ISBN: 978-3-540-45152-5Published: 09 December 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 156
Topics: Functional Analysis, Operator Theory, Linear and Multilinear Algebras, Matrix Theory