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[Lecture Notes in Mathematics] Means of Hilbert Space Operators Volume 1820 || 1 Introduction

✍ Scribed by Hiai, Fumio; Kosaki, Hideki

Book ID
127375048
Publisher
Springer Berlin Heidelberg
Year
2003
Tongue
English
Weight
240 KB
Edition
2
Category
Article
ISBN
3540451528

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✦ Synopsis

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. AfterΒ 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 resultsΒ are collected as appendices.

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