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024 7 $a10.1007/BFb0093329
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035   $a(DE-He213)978-3-540-49495-9
035   $a(MiAaPQ)EBC5590910
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035   $a(OCoLC)1066186613
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100   $a20121227d1998      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aTomita-Takesaki Theory in Algebras of Unbounded Operators /$fby Atsushi Inoue
205   $a1st ed. 1998.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998.
215   $a1 online resource (VIII, 244 p.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1699
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-65194-2 
320   $aIncludes bibliographical references and index.
327   $aFundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications.
330   $aThese notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1699
606   $aAlgebra
606   $aOperator theory
606   $aQuantum theory
606   $aSpintronics
606   $aAlgebra
606   $aOperator Theory
606   $aQuantum Physics
606   $aSpintronics
615  0$aAlgebra.
615  0$aOperator theory.
615  0$aQuantum theory.
615  0$aSpintronics.
615 14$aAlgebra.
615 24$aOperator Theory.
615 24$aQuantum Physics.
615 24$aSpintronics.
676   $a512.55
700   $aInoue$b Atsushi$f1944-$062024
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146307403321
996   $aTomita-Takesaki theory in algebras of unbounded operators$9262423
997   $aUNINA