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200 10$aNoncommutative Integration and Operator Theory /$fby Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev
205   $a1st ed. 2023.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2023.
215   $a1 online resource (583 pages)
225 1 $aProgress in Mathematics,$x2296-505X ;$v349
311 08$aPrint version: Dodds, Peter G. Noncommutative Integration and Operator Theory Cham : Springer International Publishing AG,c2024 9783031496530 
330   $aThe purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.
410  0$aProgress in Mathematics,$x2296-505X ;$v349
606   $aOperator theory
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aFunctional analysis
606   $aOperator Theory
606   $aGlobal Analysis and Analysis on Manifolds
606   $aFunctional Analysis
615  0$aOperator theory.
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615  0$aFunctional analysis.
615 14$aOperator Theory.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aFunctional Analysis.
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701   $aPagter$b Ben de$01859836
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