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Noncommutative Integration and Operator Theory de Peter G. Dodds

Noncommutative Integration and Operator Theory: Progress in Mathematics

Autor Peter G. Dodds, Fedor A. Sukochev, Ben de Pagter
en Limba Engleză Paperback – 21 ian 2025
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.
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Specificații

ISBN-13: 9783031496561
ISBN-10: 3031496566
Pagini: 592
Dimensiuni: 155 x 235 x 32 mm
Greutate: 0.89 kg
Editura: Springer Nature Switzerland
Seria Progress in Mathematics

Cuprins

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

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Connects to previous approaches and relates to classical works in the field Core exploration of noncommutative integration, both for students and for expert mathematicians Overview on the theory of operator ideals and of rearrangement invariant Banach lattices of measurable functions