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Means of Hilbert Space Operators : Lecture Notes in Mathematics - Fumio Hiai

Means of Hilbert Space Operators

Lecture Notes in Mathematics

Paperback Published: 19th August 2003
ISBN: 9783540406808
Number Of Pages: 156

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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.

Introductionp. 1
Double integral transformationsp. 7
Means of operators and their comparisonp. 33
Convergence of meansp. 57
A-L-G interpolation means M[subscript [alpha]]p. 65
Heinz-type means A[subscript [alpha]]p. 79
Binomial means B[subscript [alpha]]p. 89
Certain alternating sums of operatorsp. 105
A: Appendicesp. 123
Referencesp. 141
Indexp. 145
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540406808
ISBN-10: 3540406808
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 156
Published: 19th August 2003
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.89
Weight (kg): 0.24