Noncommutative Probability by I. CuculescuNoncommutative Probability by I. Cuculescu

Noncommutative Probability

byI. Cuculescu, A.G. Oprea

Paperback | December 15, 2010

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This 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.
Title:Noncommutative ProbabilityFormat:PaperbackDimensions:367 pages, 9.25 × 6.1 × 0.03 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048144701

ISBN - 13:9789048144709

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Table of Contents

Preface. 1. 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. Index.