03058nam 22006615 450 991080557750332120240619194134.03-031-49654-X10.1007/978-3-031-49654-7(MiAaPQ)EBC31074400(Au-PeEL)EBL31074400(DE-He213)978-3-031-49654-7(CKB)30020041600041(EXLCZ)993002004160004120240119d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNoncommutative Integration and Operator Theory /by Peter G. Dodds, Ben de Pagter, Fedor A. Sukochev1st ed. 2023.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2023.1 online resource (583 pages)Progress in Mathematics,2296-505X ;349Print version: Dodds, Peter G. Noncommutative Integration and Operator Theory Cham : Springer International Publishing AG,c2024 9783031496530 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.Progress in Mathematics,2296-505X ;349Operator theoryGlobal analysis (Mathematics)Manifolds (Mathematics)Functional analysisOperator TheoryGlobal Analysis and Analysis on ManifoldsFunctional AnalysisÀlgebres de BanachthubTeoria d'operadorsthubLlibres electrònicsthubOperator theory.Global analysis (Mathematics).Manifolds (Mathematics).Functional analysis.Operator Theory.Global Analysis and Analysis on Manifolds.Functional Analysis.Àlgebres de BanachTeoria d'operadors515.724Dodds Peter G1589036de Pagter Ben1589037Sukochev Fedor A1589038MiAaPQMiAaPQMiAaPQBOOK9910805577503321Noncommutative Integration and Operator Theory3883268UNINA