Means of Hilbert space operators
Author(s)
Bibliographic Information
Means of Hilbert space operators
(Lecture notes in mathematics, 1820)
Springer, c2003
Available at / 69 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||182003036889
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INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1820410.8/L507/v.182005965770,
410.8/L507/v.182005965770 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:515.733/H522070597468
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Note
Bibliography: p. [141]-144
Includes index
Description and Table of Contents
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.
Table of Contents
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.
by "Nielsen BookData"