Means of Hilbert space operators /
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 a...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2003]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1820. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (viii, 148 pages) |
| Bibliography: | Includes bibliographical references (pages [141]-144) and index. |
| ISBN: | 9783540451525 (electronic bk.) 3540451528 (electronic bk.) |
| ISSN: | 0075-8434 ; |