Noncommutative integration and operator theory

Publisher’s description: 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 w...

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Bibliographische Detailangaben
1. Verfasser: Dodds, Peter (VerfasserIn)
Weitere Verfasser: Pagter, Ben de (VerfasserIn), Sukochev, Fedor (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Cham Birkhäuser 2023
Schriftenreihe:Progress in mathematics volume 349
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Beschreibung
Zusammenfassung:Publisher’s description: 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.
Beschreibung:Literaturverzeichnis: Seite 567-572
Beschreibung:xi, 577 Seiten
24 cm
ISBN:9783031496530
978-3-031-49653-0