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AuthorGohm, Rolf. author
TitleNoncommutative Stationary Processes [electronic resource] / by Rolf Gohm
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2004
Connect tohttp://dx.doi.org/10.1007/b95349
Descript VIII, 172 p. online resource

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


CONTENT

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


Mathematics Functional analysis Operator theory Probabilities Mathematics Probability Theory and Stochastic Processes Functional Analysis Operator Theory



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