Noncommutative Stationary Processes

• Main Author: Gohm, Rolf (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Mathematics, 1839
• Subjects: Probabilities.; Functional analysis.; Operator theory.; Probability Theory and Stochastic Processes.; Functional Analysis.; Operator Theory.

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 ext...

Table of Contents:

• Preface
• Introduction
• 1. Extensions and dilations
• 2. Markov processes
• 3. Adaptedness
• 4. Examples and applications
• A. Some facts about unital completely positive maps
• References
• Index.