LEADER 02530nam 2200505 450 001 9910483688503321 005 20220610143523.0 010 $a3-030-68893-3 024 7 $a10.1007/978-3-030-68893-6 035 $a(CKB)4100000011781638 035 $a(DE-He213)978-3-030-68893-6 035 $a(MiAaPQ)EBC6511423 035 $a(Au-PeEL)EBL6511423 035 $a(OCoLC)1241449038 035 $a(PPN)254718957 035 $a(EXLCZ)994100000011781638 100 $a20211005d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTomita's lectures on observable algebras in Hilbert space /$fAtsushi Inoue 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (X, 190 p. 1 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2285 311 $a3-030-68892-5 330 $aThis book is devoted to the study of Tomita's observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex *-algebras that this theory includes Tomita?Takesaki theory as a special case; every observable algebra can be regarded as an operator algebra on a Pontryagin space with codimension 1. All of the results are proved in detail and the basic theory of operator algebras on Hilbert space is summarized in an appendix. The theory of CT*-algebras has connections with many other branches of functional analysis and with quantum mechanics. The aim of this book is to make Tomita?s theory available to a wider audience, with the hope that it will be used by operator algebraists and researchers in these related fields. . 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2285 606 $aOperator algebras 606 $aÀlgebres d'operadors$2thub 608 $aLlibres electrònics$2thub 615 0$aOperator algebras. 615 7$aÀlgebres d'operadors 676 $a512.55 700 $aInoue$b Atsushi$f1944-$062024 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483688503321 996 $aTomita's Lectures on Observable Algebras in Hilbert Space$91768635 997 $aUNINA