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OverviewThe 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. Full Product DetailsAuthor: Peter G. Dodds , Ben de Pagter , Fedor A. SukochevPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1st ed. 2023 Volume: 349 Weight: 1.045kg ISBN: 9783031496530ISBN 10: 3031496531 Pages: 577 Publication Date: 20 January 2024 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents- 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.ReviewsAuthor InformationPeter 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. Tab Content 6Author Website:Countries AvailableAll regions |