Noncommutative Integration and Operator Theory

Peter G. Dodds

ISBN 10: 3031496566 / ISBN 13: 9783031496561

Published by Springer Nature Switzerland, Springer Nature Switzerland Jan 2025, 2025

About this Item

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 592 pp. Englisch.

Seller Inventory # 9783031496561

Bibliographic Details

• Title: Noncommutative Integration and Operator Theory
• Publisher: Springer Nature Switzerland, Springer Nature Switzerland Jan 2025
• Publication Date: 2025
• Language: English
• ISBN 10: 3031496566
• ISBN 13: 9783031496561
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.

About the Author

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.