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Noncommutative Probability / Edition 1

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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.
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Product Details

  • ISBN-13: 9780792331339
  • Publisher: Springer Netherlands
  • Publication date: 9/30/1994
  • Series: Mathematics and Its Applications (closed) Series , #305
  • Edition description: 1994
  • Edition number: 1
  • Pages: 354
  • Product dimensions: 0.94 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface
Ch. 1 Central limit theorem on L(H) 1
Ch. 2 Probability theory on von Neumann algebras 53
Ch. 3 Free independence 95
Ch. 4 The Clifford algebra 124
Ch. 5 Stochastic integrals 160
Ch. 6 Conditional mean values 234
Ch. 7 Jordan algebras 293
References 317
Index 349
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