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Lectures on von Neumann Algebras

Lectures on von Neumann Algebras

2nd Edition

£59.99

Part of Cambridge IISc Series

  • Date Published: May 2019
  • availability: In stock
  • format: Hardback
  • isbn: 9781108496841

£ 59.99
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  • 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.

    • New topics including the first two examples of factors of type II^1, an example of factor of type III and theorems for von Neumann algebras are discussed in detail
    • Covers the theory of standard von Neumann algebras, first in the classical semi-finite case, then in the case where there is a cyclic and separating vector, and finally in general cases
    • Pedagogical features including solved problems and exercises are interspersed throughout the book
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    Product details

    • Edition: 2nd Edition
    • Date Published: May 2019
    • format: Hardback
    • isbn: 9781108496841
    • length: 438 pages
    • dimensions: 249 x 189 x 26 mm
    • weight: 0.85kg
    • availability: In stock
  • Table of Contents

    Preface
    Introduction
    Dedication
    1. Topologies on spaces of operators
    2. Bounded linear operators in Hilbert space
    3. Von Neumann algebras
    4. The geometry of projections and the classification of von Neumann algebras
    5. Linear forms on operator algebras
    6. Relationships between a von Neumann algebras and its commutant
    7. Finite von Neumann algebras
    8. Spatial isomorphisms and relations between topologies
    9. Unbounded linear operators in Hilbert spaces
    10. The theory of standard von Neumann algebras
    Appendix
    References
    Subject index
    Notation index.

  • Authors

    Serban-Valentin Stratila, Institute of Mathematics of the Romanian Academy, Romania
    Serban-Valentin Stratila is Senior Researcher, Institute of Mathematics of the Romanian Academy, Romania. He received his Ph.D. from the University of Bucharest, Romania in 1973. His current research includes operator algebras and representation theory. He was a visiting professor at the University of California, Berkeley, Cincinnati University, University of Nevada, Reno, University of Iowa, University of Orleans, France and Lille University of Science and Technology, France. He received the 1975 Simion Stoilow Prize for Mathematics, Romanian Academy.

    Laszlo Zsido, Università degli Studi di Roma 'Tor Vergata'
    Laszlo Zsido is a Professor in the Department of Mathematics at the University of Rome Tor Vergata, Italy. He received his Ph.D. from the University of Bucharest, Romania in 1973 and has published more than seventy papers in journals of international repute. His areas of research include functional analysis, harmonic analysis, generalized functions and ergodic theory.

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