Tomita s Lectures on Observable Algebras in Hilbert Space is popular PDF and ePub book, written by Atsushi Inoue in 2021-03-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Tomita s Lectures on Observable Algebras in Hilbert Space can be Read Online from any device for your convenience.
Tomita s Lectures on Observable Algebras in Hilbert Space Book PDF Summary
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.
Detail Book of Tomita s Lectures on Observable Algebras in Hilbert Space PDF
- Author : Atsushi Inoue
- Release : 01 March 2021
- Publisher : Springer Nature
- ISBN : 9783030688936
- Genre : Mathematics
- Total Page : 197 pages
- Language : English
- PDF File Size : 18,5 Mb
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