Means of Hilbert Space Operators / by Fumio Hiai, Hideki Kosaki.

Format:

Book

Author/Creator:

Hiai, Fumio, 1948- author.

Kosaki, Hideki, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1820.

Lecture Notes in Mathematics, 0075-8434 ; 1820

Language:

English

Subjects (All):

Functional analysis.

Operator theory.

Matrices.

Functional Analysis.

Operator Theory.

Linear and Multilinear Algebras, Matrix Theory.

Local Subjects:

Functional Analysis.

Operator Theory.

Linear and Multilinear Algebras, Matrix Theory.

Physical Description:

1 online resource (VIII, 156 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.

System Details:

text file PDF

Summary:

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.

Contents:

Introduction

Double integral transformations

Means of operators and their comparison

Convergence of means

A-L-G interpolation means Ma

Heinz-type means Aa

Binomial means Ba

Certain alternating sums of operators

Appendices

References

Index.

Other Format:

Printed edition:

ISBN:

9783540451525

Access Restriction:

Restricted for use by site license.