Means of Hilbert Space Operators
Download or Read eBook Means of Hilbert Space Operators PDF 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.
| Author | : Fumio Hiai |
| Publisher | : Springer |
| Total Pages | : 151 |
| Release | : 2003-12-09 |
| ISBN-10 | : 9783540451525 |
| ISBN-13 | : 3540451528 |
| Rating | : 4/5 (25 Downloads) |
Book Synopsis Means of Hilbert Space Operators by : Fumio Hiai
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.
