Noncommutative Stationary Processes / by Rolf Gohm.

Format:

Book

Author/Creator:

Gohm, Rolf, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1839.

Lecture Notes in Mathematics, 0075-8434 ; 1839

Language:

English

Subjects (All):

Distribution (Probability theory).

Functional analysis.

Operator theory.

Probability Theory and Stochastic Processes.

Functional Analysis.

Operator Theory.

Local Subjects:

Probability Theory and Stochastic Processes.

Functional Analysis.

Operator Theory.

Physical Description:

1 online resource (VIII, 172 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783540399025

Access Restriction:

Restricted for use by site license.