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Noncommutative Stationary Processes

  • Authors
  • Rolf Gohm

Part of the Lecture Notes in Mathematics book series (LNM, volume 1839)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Rolf Gohm
    Pages 1-7
  3. Rolf Gohm
    Pages 9-36
  4. Rolf Gohm
    Pages 37-71
  5. Rolf Gohm
    Pages 73-111
  6. Rolf Gohm
    Pages 113-147
  7. Rolf Gohm
    Pages 165-168
  8. Back Matter
    Pages 169-170

About this book

Introduction

Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but  many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras.

Keywords

Markov process Markov property adapted endomorphism completely positive dilation extension noncommutative stationary processes

Bibliographic information

  • DOI https://doi.org/10.1007/b95349
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20926-3
  • Online ISBN 978-3-540-39902-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site