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＜電子ブック＞
Means of Hilbert Space Operators / by Fumio Hiai, Hideki Kosaki
(Lecture Notes in Mathematics. ISSN:16179692 ; 1820)

版	1st ed. 2003.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2003
大きさ	VIII, 156 p : online resource
著者標目	*Hiai, Fumio author Kosaki, Hideki author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Operator theory LCSH:Algebras, Linear FREE:Functional Analysis FREE:Operator Theory FREE:Linear Algebra
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b13213

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