(Ebook) Lectures on von Neumann Algebras: Second Edition by Șerban Valentin Strătilă, László Zsidó ISBN 9781108496841, 9781108654975, 1108496849, 1108654975, B07VQJYMVP

(Ebook) Lectures on von Neumann Algebras: Second Edition by Șerban Valentin Strătilă, László Zsidó ISBN 9781108496841, 9781108654975, 1108496849, 1108654975, B07VQJYMVP

Main subject categories: • von Neumann algebras • Hilbert spaces

The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.

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 II₁, 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.

Pedagogical features including solved problems and exercises are interspersed throughout the book. 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.