---

＜電子ブック＞
Tomita's Lectures on Observable Algebras in Hilbert Space / by Atsushi Inoue
(Lecture Notes in Mathematics. ISSN:16179692 ; 2285)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
大きさ	X, 190 p. 1 illus : online resource
著者標目	*Inoue, Atsushi author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Operator theory LCSH:Algebra LCSH:Mathematical physics FREE:Functional Analysis FREE:Operator Theory FREE:Algebra FREE:Mathematical Physics
一般注記	This 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. HTTP:URL=https://doi.org/10.1007/978-3-030-68893-6

 類似資料