Noncommutative Probability / Edition 1

Noncommutative Probability / Edition 1

by I. Cuculescu, A.G. Oprea
     
 

ISBN-10: 0792331338

ISBN-13: 9780792331339

Pub. Date: 09/30/1994

Publisher: Springer Netherlands

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…  See more details below

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.

Product Details

ISBN-13:
9780792331339
Publisher:
Springer Netherlands
Publication date:
09/30/1994
Series:
Mathematics and Its Applications (closed) Series, #305
Edition description:
1994
Pages:
354
Product dimensions:
0.94(w) x 6.14(h) x 9.21(d)

Table of Contents

Preface
Ch. 1Central limit theorem on L(H)1
Ch. 2Probability theory on von Neumann algebras53
Ch. 3Free independence95
Ch. 4The Clifford algebra124
Ch. 5Stochastic integrals160
Ch. 6Conditional mean values234
Ch. 7Jordan algebras293
References317
Index349

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