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Means of Hilbert Space Operators

Means of Hilbert Space Operators

Paperback

Series: Lecture Notes in Mathematics, Book 1820

AlgebraCalculusGeneral Mathematics

ISBN10: 3540406808
ISBN13: 9783540406808
Publisher: Springer
Published: Aug 19 2003
Pages: 156
Weight: 0.53
Height: 0.35 Width: 6.14 Depth: 9.21
Language: English

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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Calculus