Tomita's lectures on observable algebras in Hilbert space / Atsushi Inoue.

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 representatio...

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Bibliographic Details
Main Author: Inoue, Atsushi, 1944-
Format: eBook
Language:English
Published: Cham : Springer, 2021.
Series:Lecture notes in mathematics (Springer-Verlag) ; 2285.
Subjects:
Online Access:Click for online access

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100 1 |a Inoue, Atsushi,  |d 1944-  |1 https://id.oclc.org/worldcat/entity/E39PCjDHvTR96HmQWx9JhwXTpP 
245 1 0 |a Tomita's lectures on observable algebras in Hilbert space /  |c Atsushi Inoue. 
260 |a Cham :  |b Springer,  |c 2021. 
300 |a 1 online resource (197 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Lecture Notes in Mathematics ;  |v v. 2285 
588 0 |a Print version record. 
520 |a 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 TomitaTakesaki 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 Tomitas theory available to a wider audience, with the hope that it will be used by operator algebraists and researchers in these related fields. 
504 |a Includes bibliographical references and index. 
506 |a Access restricted to registered UOB users with valid accounts. 
650 0 |a Operator algebras. 
650 0 |a Hilbert space. 
650 0 |a Algebra. 
650 7 |a algebra.  |2 aat 
650 0 7 |a Álgebras de operadores  |2 embucm 
650 0 7 |a Hilbert, Espacio de  |2 embucm 
650 7 |a Hilbert space  |2 fast 
650 7 |a Operator algebras  |2 fast 
758 |i has work:  |a Tomita's lectures on observable algebras in Hilbert Space (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGcCXc37rPXjmytFdxVRGb  |4 https://id.oclc.org/worldcat/ontology/hasWork 
773 0 |t Springer Nature eBook  |w (OCoLC-LEATE)288477 
776 0 8 |i Print version:  |a Inoue, Atsushi.  |t Tomita's Lectures on Observable Algebras in Hilbert Space.  |d Cham : Springer International Publishing AG, ©2021  |z 9783030688929 
830 0 |a Lecture notes in mathematics (Springer-Verlag) ;  |v 2285. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-68893-6  |y Click for online access 
903 |a SPRING-MATH2021 
994 |a 92  |b HCD