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Lectures on von Neumann algebra / Șerban Valentin Strătilă, László Zsidó.

By: Contributor(s): Material type: TextTextLanguage: English Original language: Romanian Series: Cambridge - IISc seriesPublisher: Cambridge : Cambridge University Press, 2019Edition: 2nd edDescription: 1 online resource (xii, 417 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781108654975 (ebook)
Uniform titles:
  • Lecții de algebre von Neumann. English
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.556 23
LOC classification:
  • QA326 .S7613 2019
Online resources:
Contents:
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.
Summary: 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.
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Originally published in Romanian in 1975. First English translation, 1979.

Title from publisher's bibliographic system (viewed on 24 Apr 2019).

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.

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