Skip to main content
  • Book
  • © 2004

Noncommutative Stationary Processes

Authors:

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

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (7 chapters)

  1. Front Matter

    Pages I-VIII
  2. Introduction

    • Rolf Gohm
    Pages 1-7
  3. Extensions and Dilations

    • Rolf Gohm
    Pages 9-36
  4. Markov Processes

    • Rolf Gohm
    Pages 37-71
  5. Adaptedness

    • Rolf Gohm
    Pages 73-111
  6. Examples and Applications

    • Rolf Gohm
    Pages 113-147
  7. References

    • Rolf Gohm
    Pages 165-168
  8. Back Matter

    Pages 169-170

About this book

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

  • Book Title: Noncommutative Stationary Processes

  • Authors: Rolf Gohm

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b95349

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-20926-3Published: 04 March 2004

  • eBook ISBN: 978-3-540-39902-5Published: 28 January 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 172

  • Topics: Probability Theory, Functional Analysis, Operator Theory

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions