Lectures on von Neumann Algebras
2nd Edition
Part of Cambridge IISc Series
- Authors:
- Serban-Valentin Stratila, Institute of Mathematics of the Romanian Academy, Romania
- Laszlo Zsido, Università degli Studi di Roma 'Tor Vergata'
- Date Published: May 2019
- availability: In stock
- format: Hardback
- isbn: 9781108496841
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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.
Read more- 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.
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