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OverviewThis volume introduces the subject of noncommutative probability from a mathematical point of view based on the idea of generalising fundamental theorems in classical probability theory. It contains topics including von Neumann algebras, Fock spaces, free independence and Jordan algebras. Full proofs are given, and outlines are sketched where some background information is essential to follow the argument. The bibliography lists classical papers on the subject as well as recent titles, thus enabling further study. This book is of interest to graduate students and researchers in functional analysis, von Neumann algebras, probability theory and stochastic calculus. Some previous knowledge of operator algebras and probability theory is assumed. Full Product DetailsAuthor: I. Cuculescu , A.G. OpreaPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1994 Volume: 305 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 0.569kg ISBN: 9789048144709ISBN 10: 9048144701 Pages: 354 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents1. Central limit theorem on L(H).- 2. Probability theory on von Neumann algebras.- 3. Free independence.- 4. The Clifford algebra.- 5. Stochastic integrals.- 6. Conditional mean values.- 7. Jordan algebras.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |