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OverviewThis volume introduces the subject of noncommutative probability from a mathematical point of view based on the idea of generalizing 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 should be 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: 1994 ed. Volume: 305 Dimensions: Width: 15.60cm , Height: 2.20cm , Length: 23.40cm Weight: 1.540kg ISBN: 9780792331339ISBN 10: 0792331338 Pages: 354 Publication Date: 30 September 1994 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. 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 |