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Field name	Details
Dewey Class	515.7
Title	Means of Hilbert Space Operators ([EBook] /) / by Fumio Hiai, Hideki Kosaki.
Author	Hiai, Fumio
Added Personal Name	Kosaki, Hideki author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2003.
Physical Details	VIII, 156 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1820
ISBN	9783540451525
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b13213
Links to Related Works	Subject References: Algebra . Functional Analysis . Hilbert space . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Operator Theory . Authors: Hiai, Fumio . Kosaki, Hideki . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.7 . 515.7 (DDC 22) .

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Means of Hilbert Space Operators

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