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...
The mathematical basis for all this is the extremely powerful Tomita-Takesaki modular theory in operator algebras. The rich consequences of the impressive blend of this theory with physical localization entails among other things the ... B Schroer - 《Physics》 被引量: 3发表: 2001年 [Image tre...
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 shown, that in the case when the rank of indefiniteness is equal to 1 there exists a working modular theory, and in particular a precise analogue of the Fundamental Tomita's Theorem holds: For any weakly closed J-symmetric operator algebra $mathcal J$ with identity on a u03a01-...
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...
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)
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...
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 ...
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 resu|t of the complex case.LIBINGREN...