𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Means of Hilbert Space Operators

✍ Scribed by Fumio Hiai, Hideki Kosaki (auth.)

Book ID
127420678
Publisher
Springer
Year
2003
Tongue
English
Weight
3 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540451528
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ 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.

✦ Subjects

Linear and Multilinear Algebras, Matrix Theory

πŸ“œ SIMILAR VOLUMES

[Lecture Notes in Mathematics] Means of
[Lecture Notes in Mathematics] Means of Hilbert Space Operators Volume 1820 || 1 Introduction
✍ Hiai, Fumio; Kosaki, Hideki πŸ“‚ Article πŸ“… 2003 πŸ› Springer Berlin Heidelberg 🌐 English βš– 240 KB

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 co

Hilbert Space Operators
Hilbert Space Operators
✍ J.M. Bachar, D.W. Hadwin πŸ“‚ Library πŸ“… 1978 πŸ› Springer 🌐 English βš– 1 MB
Structure of Hilbert Space Operators
Structure of Hilbert Space Operators
✍ Chunlan Jiang, Zongyao Wang πŸ“‚ Library πŸ“… 2006 πŸ› World Scientific 🌐 English βš– 8 MB

This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen-Douglas operators is given. The authors take the strongly irreduc

Structure of Hilbert space operators
Structure of Hilbert space operators
✍ Chunlan Jiang, Zongyao Wang πŸ“‚ Library πŸ“… 2006 πŸ› World Scientific 🌐 English βš– 1 MB

This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen–Douglas operators is given. The authors take the strongly irreduc