Means of Hilbert space operators /

Means of Hilbert space operators /

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Bibliographic Details
Author / Creator:	Hiai, Fumio, 1948-
Imprint:	Berlin ; New York : Springer, ©2003.
Description:	1 online resource (viii, 148 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1820 Lecture notes in mathematics (Springer-Verlag) ; 1820.
Subject:	Hilbert space. Linear operators. Hilbert space. Linear operators.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11065197

Hidden Bibliographic Details
Other authors / contributors:	Kosaki, Hideki.
ISBN:	9783540451525 3540451528 3540406808 9783540406808
Notes:	Includes bibliographical references (pages 141-144) and index.
Summary:	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.
Other form:	Print version: Hiai, Fumio, 1948- Means of Hilbert space operators. Berlin ; New York : Springer, ©2003 3540406808

Description
Summary:	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.
Physical Description:	1 online resource (viii, 148 pages).
Bibliography:	Includes bibliographical references (pages 141-144) and index.
ISBN:	9783540451525 3540451528 3540406808 9783540406808
ISSN:	0075-8434 ;