Noncommutative Integration and Operator Theory

Dodds, Peter G.; De Pagter, Ben; Sukochev, Fedor A.

ISBN 10: 3031496531 ISBN 13: 9783031496530

Editorial: Birkhäuser, 2024

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Noncommutative Integration and Operator Theory

Editor

Birkh�user

Fecha de publicaci�n

2024

Idioma

Ingl�s

ISBN 10

3031496531

ISBN 13

9783031496530

Encuadernaci�n

Encuadernaci�n de tapa dura

Estado

New

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Sinopsis

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.

Acerca del autor

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.

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