| Means of Hilbert Space Operators 2003 Edition Contributor(s): Hiai, Fumio (Author), Kosaki, Hideki (Author) |
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ISBN: 3540406808 ISBN-13: 9783540406808 Publisher: Springer OUR PRICE: $42.74 Product Type: Paperback - Other Formats Published: August 2003 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Mathematics | Algebra - Linear |
| Dewey: 515.724 |
| LCCN: 2003066700 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.35" H x 6.14" W x 9.21" (0.53 lbs) 156 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
