Verwandte Artikel zu Tomita's Lectures on Observable Algebras in Hilbert...

Tomita's Lectures on Observable Algebras in Hilbert Space (Lecture Notes in Mathematics, Band 2285) - Softcover

Inoue, Atsushi

 
9783030688929: Tomita's Lectures on Observable Algebras in Hilbert Space (Lecture Notes in Mathematics, Band 2285)
Softcover
ISBN 10: 3030688925 ISBN 13: 9783030688929
Verlag: Springer, 2021

Inhaltsangabe

​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 operatoralgebraists and researchers in these related fields. 

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Atsushi Inoue is a professor emeritus of Fukuoka University. He has researched unbounded operator algebras and unbounded *-representations of (locally convex) *-algebras (bibliography: A. Inoue, Tomita-Takesaki Theory in Algebras of Unbounded Operators, Springer-Verlag, Berlin, 1998; J-P. Antoine, A. Inoue and C. Trapani, Partial *-Algebras and Their Operator Realizations, Math. Appl. 553, Kluwer Academic, Dordrecht, 2002 and about 100 papers)

Von der hinteren Coverseite

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. 

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
3030688925
ISBN 13 
9783030688929
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
200
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Deutschland