Noncommutative Stationary Processes: 1839 (Lecture Notes in Mathematics, 1839) - Softcover

Gohm, Rolf

Softcover

ISBN 10: 3540209263 ISBN 13: 9783540209263

Publisher: Springer, 2004

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2004
• Language: English
• ISBN 10: 3540209263
• ISBN 13: 9783540209263
• Binding: Paperback
• Number of pages: 180