Tomita's Lectures on Observable Algebras in Hilbert Space / by Atsushi Inoue.

Format:

Book

Author/Creator:

Inoue, Atsushi, Author.

Contributor:

SpringerLink (Online service)

Series:

Mathematics and Statistics (SpringerNature-11649)

Lecture Notes in Mathematics, 1617-9692 ; 2285

Language:

English

Subjects (All):

Functional analysis.

Operator theory.

Algebra.

Mathematical physics.

Functional Analysis.

Operator Theory.

Mathematical Physics.

Local Subjects:

Functional Analysis.

Operator Theory.

Algebra.

Mathematical Physics.

Physical Description:

1 online resource (X, 190 pages) : 1 illustrations

Edition:

1st ed. 2021.

Contained In:

Springer Nature eBook

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2021.

System Details:

text file 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. .

Other Format:

Printed edition:

ISBN:

978-3-030-68893-6

9783030688936

Access Restriction:

Restricted for use by site license.