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＜電子ブック＞
Noncommutative Integration and Operator Theory / by Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev
(Progress in Mathematics. ISSN:2296505X ; 349)

版	1st ed. 2023.
出版者	(Cham : Springer Nature Switzerland : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XI, 577 p : online resource
著者標目	*Dodds, Peter G author de Pagter, Ben author Sukochev, Fedor A author SpringerLink (Online service)
件　名	LCSH:Operator theory LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Functional analysis FREE:Operator Theory FREE:Global Analysis and Analysis on Manifolds FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-49654-7

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