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
- 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
- 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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