Means of Hilbert Space Operators / by Fumio Hiai, Hideki Kosaki
(Lecture Notes in Mathematics ; 1820)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
| 出版年 | 2003 |
| 本文言語 | 英語 |
| 大きさ | VIII, 156 p : online resource |
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| 内容注記 | Introduction Double integral transformations Means of operators and their comparison Convergence of means A-L-G interpolation means Ma Heinz-type means Aa Binomial means Ba Certain alternating sums of operators Appendices References Index |
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| 一般注記 | 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 |
| 著者標目 | *Hiai, Fumio author Kosaki, Hideki author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Matrix theory LCSH:Algebra LCSH:Functional analysis LCSH:Operator theory FREE:Mathematics FREE:Functional Analysis FREE:Operator Theory FREE:Linear and Multilinear Algebras, Matrix Theory |
| 分 類 | DC23:515.7 |
| 巻冊次 | ISBN:9783540451525 
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| ISBN | 9783540451525 |
| URL | http://dx.doi.org/10.1007/b13213 |
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