Means of Hilbert Space Operators

Hideki Kosaki

ISBN 10: 3540406808 / ISBN 13: 9783540406808

Published by Springer Berlin Heidelberg Aug 2003, 2003

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. Aftersome 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 resultsare collected as appendices. 164 pp. Englisch.

Seller Inventory # 9783540406808

Bibliographic Details

• Title: Means of Hilbert Space Operators
• Publisher: Springer Berlin Heidelberg Aug 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 3540406808
• ISBN 13: 9783540406808
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 10D millimeters 235 millimeters width by 155 millimeters height by 10 millimeters depth
• Weight: 260 grams

About this title

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. 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.