Noncommutative Probability

Author:   I. Cuculescu ,  A.G. Oprea
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   305
ISBN:  

9789048144709


Pages:   354
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Noncommutative Probability


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Overview

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.

Full Product Details

Author:   I. Cuculescu ,  A.G. Oprea
Publisher:   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:  

9789048144709


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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