Dodds / de Pagter / Sukochev Noncommutative Integration and Operator Theory

1. Auflage 2024
ISBN: 978-3-031-49654-7
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 577 Seiten

Reihe: Mathematics and Statistics

The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.

Zielgruppe

Research

Autoren/Hrsg.

Dodds, Peter G.

de Pagter, Ben

Sukochev, Fedor A.

Inhaltsverzeichnis

- 1. A Review of Relevant Operator Theory. - 2. Measurable Operators. - 3. Singular Value Functions. - 4. Symmetric Spaces of t-Measurable Operators. - 5. Strongly Symmetric Spaces of t-Measurable Operators. - 6. Examples. - 7. Interpolation.

Über Autor(innen)

Peter Dodds  is Emeritus Professor of Mathematics at Flinders University, Tonsley, Australia.

Ben de Pagter  is Emeritus Professor of Mathematics at Delft University of Technology, Delft, The Netherlands.

Fedor Sukochev  is Professor of Mathematics at the University of New South Wales, Sydney, Australia.