Lectures on von Neumann algebras:

Topologies on spaces of operators -- Bounded linear operators in Hilbert spaces -- Von Neumann algebras -- The geometry of projections and the classification of von Neumann algebras -- Linear forms on algebras of operators -- Relations between a von Neumann algebra and its commutant -- Finite von Ne...

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Hauptverfasser: Strǎtilǎ, Şerban 1943- (VerfasserIn), Zsidó, László 1946- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Romanian
Veröffentlicht: Cambridge ; New York, NY Cambridge University Press 2019
Ausgabe:Second edition
Schriftenreihe:Cambridge - IISc series
Schlagworte:
Online-Zugang:BSB01
FHN01
UBA01
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Zusammenfassung:Topologies on spaces of operators -- Bounded linear operators in Hilbert spaces -- Von Neumann algebras -- The geometry of projections and the classification of von Neumann algebras -- Linear forms on algebras of operators -- Relations between a von Neumann algebra and its commutant -- Finite von Neumann algebras -- Spatial isomorphisms and relations between topologies -- Unbounded linear operators in Hilbert spaces -- The theory of standard von Neumann algebras -- Appendix
Written in lucid language, this valuable text discusses fundamental concepts of von Neumann algebras including bounded linear operators in Hilbert spaces, finite von Neumann algebras, linear forms on algebra of operators, geometry of projections and classification of von Neumann algebras in an easy to understand manner. The revised text covers new material including the first two examples of factors of type II 1, an example of factor of type III and theorems for von Neumann algebras with a cyclic and separating vector. Pedagogical features including solved problems and exercises are interspersed throughout the book
Beschreibung:Originally published in Romanian in 1975. First English translation, 1979
Includes bibliographical references and indexes
Beschreibung:1 Online-Ressource (1 online resource)
ISBN:9781108654975
1108654975
DOI:10.1017/9781108654975

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