Theory of operator algebras II (Record no. 2589)

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fixed length control field 02325nam a22002297a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241014115140.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 190405b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540429142
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA326
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Takesaki Masamichi
245 ## - TITLE STATEMENT
Title Theory of operator algebras II
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York:
Name of publisher, distributor, etc. Springer-Verlag,
Date of publication, distribution, etc. [c2003]
300 ## - Physical Description
Pages: 518 p.
490 ## - SERIES STATEMENT
Series statement Encyclopaedia of Mathematical Sciences
Volume/sequential designation Vol. 125
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note Chapter VI. Left Hilbert Algebras<br/>Chapter VII. Weigh<br/>Chapter VIII Modular Automorphism Groups<br/>Chapter IX Non-Commutative Integration<br/>Chapter X Abelian Automorphism Group<br/>Chapter XI Structure of a von Neumann Algebra of Type III
520 ## - SUMMARY, ETC.
Summary, etc. Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators of a Hilbert space which is closed in the weak operator topology. According to von Neumann's bicommutant theorem, M is closed in the weak operator topology if and only if it is equal to the commutant of its commutant. A factor is a von Neumann algebra with trivial centre and the work of Murray and von Neumann contained a reduction of all von Neumann algebras to factors and a classification of factors into types I, IT and III. C* -algebras are self-adjoint operator algebras on Hilbert space which are closed in the norm topology. Their study was begun in the work of Gelfand and Naimark who showed that such algebras can be characterized abstractly as involutive Banach algebras, satisfying an algebraic relation connecting the norm and the involution. They also obtained the fundamental result that a commutative unital C* -algebra is isomorphic to the algebra of complex valued continuous functions on a compact space - its spectrum. Since then the subject of operator algebras has evolved into a huge mathematical endeavour interacting with almost every branch of mathematics and several areas of theoretical physics. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://link.springer.com/book/10.1007/978-3-662-10451-4#toc">https://link.springer.com/book/10.1007/978-3-662-10451-4#toc</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 5 04/04/2019 QA326 01926 Book