TY - BOOK AU - Strătilă,Șerban AU - Zsidó,László TI - Lectures on von Neumann algebra T2 - Cambridge - IISc series SN - 9781108654975 (ebook) AV - QA326 .S7613 2019 U1 - 512/.556 23 PY - 2019/// CY - Cambridge PB - Cambridge University Press KW - Von Neumann algebras KW - Hilbert space N1 - 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 N2 - 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 UR - https://doi.org/10.1017/9781108654975 ER -