Noncommutative Integration and Operator Theory (Hardcover)

Peter G. Dodds

ISBN 10: 3031496531 / ISBN 13: 9783031496530

Editore: Birkhauser Verlag AG, Basel, 2024

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Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9783031496530

Dati bibliografici

• Titolo: Noncommutative Integration and Operator Theory (Hardcover)
• Editore: Birkhauser Verlag AG, Basel
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 3031496531
• ISBN 13: 9783031496530
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.