Means of Hilbert Space Operators (Lecture Notes in Mathematics)
1 edition
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Word Count
37,000 words, Guess
Page Count
148 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL12774440M
- ISBN-139783540406808
- ISBN-103540406808
- OCLC Control Number52990514
- OCLC Control Numbermeanshilbertspac00hiai_668
and 2 more
- Library of Congress Control Number2003066700
- Goodreads1051263
Classifications
- LCCQA3 .L28 no. 1820
Description
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.
First Sentence
The present monograph is devoted to a thorough study of means for Hubert space operators, especially comparison of (unitarily invariant) norms of operator means and their convergence properties in various aspects.
Subjects
Topics
Other Editions
- Means of Hilbert Space Operators (Lecture Notes in Mathematics)
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