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...
5. M. Takesaki, Tomita's Theory of Modular Hilbert Algebras, Lecture Notes Series No. 128, Springer, 1970. 6. , States and automorphism groups of operator algebras, Proceedings of the Symposium on Mathematical Aspects of Statistical ... CA Akemann - 《Transactions of the American Mathematical...
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 ...
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...
TOMITA-TAKESAKI理论非退化对单一对合模算子Tomita-Takesaki theory in the real case is considered. The author introduces the conception of a nondegenerate pair of closed subspaces in a real Hilbert space. Then a satisfactory real Tomita Takesaki theory is obtained, and it seems to be a special ...
Classical KMS condition and Tomita-Takesaki theory. Commun.Math. Phys. 47, 95 (1976). https://doi.org/10.1007/BF01609357 Download citation Received09 March 1975 Revised23 July 1975 Issue DateFebruary 1976 DOIhttps://doi.org/10.1007/BF01609357 Share this article Anyone you share the following...
摘要: CiteSeerX - Scientific documents that cite the following paper: Tomita-Takesaki theory for Jordan algebras 关键词: CiteSeerX citations Tomita-Takesaki theory for Jordan algebras U Haagerup H Hanche-Olsen DOI: 10.1016/0022-314X(84)90071-4 被引量: 31 ...
These 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 introd...
Tomita-Takesaki Theory 作者:Lambert M·Surhone/Miriam T·Timpledon/Susan F·Marseken 页数:64 ISBN:9786131148330 豆瓣评分 目前无人评价 写笔记 写书评 加入购书单 分享到 我要写书评 Tomita-Takesaki Theory的书评 ···(全部 0 条)