Means of Hilbert Space Operators

Hiai, Fumio; Kosaki, Hideki

ISBN 10: 3540406808 / ISBN 13: 9783540406808

Published by Springer, 2003

About this Item

Seller Inventory # 5907087-n

Bibliographic Details

• Title: Means of Hilbert Space Operators
• Publisher: Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 3540406808
• ISBN 13: 9783540406808
• Binding: Soft cover
• Condition: New

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.