In the theory of von Neumann algebras, a part of the mathematical field of functional analysis, Tomita–Takesaki theory is a method for constructing modular automorphisms of von Neumann algebras from the polar decomposition of a certain involution. It is essential for the theory of type III ...
Tomita-Takesaki理论(对算子代数来说也叫Modular theory)，是关于von Neumann代数的结构的一种理论。以下...
Tomitau2013Takesaki theory for quasivectorsDouble Commutant TheoremWe consider operator algebras, which are symmetric with respect to an indefinite scalar product. It is shown, that in the case when the rank of indefiniteness is equal to 1 there exists a working modular theory, and in particular...
() Citation Context ...eld theory, the physical concept of PCT symmetry and spin and statistics is deeply linked to the Tomita-Takesaki theory of von... Hans-JürgenBorchers 被引量: 0发表: 2000年 Gauge-invariant treatment of the integrated Sachs-Wolfe effect on general spherically symmetric ...
Tomita-Takesaki Theory 作者:Lambert M·Surhone/Mariam T·Tennoe/Susan F·Henssonow 页数:84 ISBN:9786133192836 豆瓣评分 目前无人评价 我要写书评 Tomita-Takesaki Theory的书评 ···(全部 0 条)
Tomita-Takesaki theory : mathematical aspectsRack, Tatjana
This chapter is devoted to the development of the Tomita-Takesaki theory in partial O*-algebras. In Section 5.1, we introduce and investigate the notion of cyclic generalized vectors for a partial O*-algebra, generalizing that of cyclic vectors, and its commutants. Section 5.2 introduces the ...
It is also fundamental for to the finer understanding of operator...Tuset, LarsOslo Metropolitan University
The following sections are included:The KMS conditionTomita-Takesaki theoryThe modular automorphism group of a σ-finiteW*-algebra The KMS condition Tomita-Takesaki theory The modular automorphism group of a σ-finiteW*-algebraIntroduction To Operator Algebrasdoi:10.1142/9789814355865_0008Lambert M. ...
Tomita-Takesaki theoryNon-degenerate pairUnitary involutionModular operatorLetMbearealVonNeumannalgebraonarealHilbertspaceH,and(oEHbecyclic-separatingforM.LetK=Mthe,andL=Mthe.Clearly,KnL={o},and(K+L)isdenseinH.Hence,wemuststudysuchanondegeneratepair(K,L).Manypropertiesof(K,L)aresimilartothecomplex...