The Resource Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue
Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue
Resource Information
The item Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 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.
 Language
 eng
 Label
 Tomita's lectures on observable algebras in Hilbert space
 Title
 Tomita's lectures on observable algebras in Hilbert space
 Statement of responsibility
 Atsushi Inoue
 Language
 eng
 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 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.
 Cataloging source
 YDX
 http://library.link/vocab/creatorDate
 1944
 http://library.link/vocab/creatorName
 Inoue, Atsushi
 Dewey number
 515.7
 Index
 index present
 LC call number

 QA3
 QA319329.9
 LC item number
 .L28 no.2285
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 volume 2285
 http://library.link/vocab/subjectName

 Operator algebras
 Hilbert space
 Hilbert space
 Operator algebras
 Label
 Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 1230231063
 Dimensions
 24 cm.
 Extent
 x, 187 pages
 Isbn
 9783030688929
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 System control number
 (OCoLC)1230231063
 Label
 Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Control code
 1230231063
 Dimensions
 24 cm.
 Extent
 x, 187 pages
 Isbn
 9783030688929
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 System control number
 (OCoLC)1230231063
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