ENGLISH

Means of Hilbert Space Operators

By Fumio Hiai , Hideki Kosaki (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2003
ISBN
9783540406808, 3-540-40680-8
DOI
10.1007/b13213
ISSN
0075-8434
Open Library ID
OL12774440M
Language
english
Format
PDF
Filesize
3 MB (2842462 bytes)
Series
Lecture Notes in Mathematics 1820
Edition
1
Pages
156\150
Library
Techlib
Time added
2009-11-09 02:42:13
Matrix TheoryOperator Theory; Linear and Multilinear Algebras

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.

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