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The Resource Tomita's lectures on observable algebras in Hilbert space, Atsushi Inoue

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

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
Creator
Author
Subject
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.
Member of
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
  • QA319-329.9
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
Instantiates
Publication
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
Publication
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

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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