02530nam 2200505 450 991048368850332120220610143523.03-030-68893-310.1007/978-3-030-68893-6(CKB)4100000011781638(DE-He213)978-3-030-68893-6(MiAaPQ)EBC6511423(Au-PeEL)EBL6511423(OCoLC)1241449038(PPN)254718957(EXLCZ)99410000001178163820211005d2021 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierTomita's lectures on observable algebras in Hilbert space /Atsushi Inoue1st ed. 2021.Cham, Switzerland :Springer,[2021]©20211 online resource (X, 190 p. 1 illus.)Lecture Notes in Mathematics,0075-8434 ;22853-030-68892-5 This book is devoted to the study of Tomita's observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex *-algebras that this theory includes Tomita–Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in detail and the basic theory of operator algebras on Hilbert space is summarized in an appendix. The theory of CT*-algebras has connections with many other branches of functional analysis and with quantum mechanics. The aim of this book is to make Tomita’s theory available to a wider audience, with the hope that it will be used by operator algebraists and researchers in these related fields. .Lecture Notes in Mathematics,0075-8434 ;2285Operator algebrasÀlgebres d'operadorsthubLlibres electrònicsthubOperator algebras.Àlgebres d'operadors512.55Inoue Atsushi1944-62024MiAaPQMiAaPQMiAaPQBOOK9910483688503321Tomita's Lectures on Observable Algebras in Hilbert Space1768635UNINA