On the generators of quantum stochastic operator cocycles

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OnGensOfOpCocs.pdf(265.28 KB)
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Date
2007-01
Authors
Wills, Stephen J.
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Polymat
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Abstract
The stochastic generators of Markov-regular operator cocycles on symmetric Fock space are studied in a variety of cases: positive cocycles, projection cocycles, and partially isometric cocycles. Moreover a class of transformations of positive contraction cocycles is exhibited which leads to a polar decomposition result.
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Keywords
Operator cocycle , Projection cocycle , Positive cocycle , Partial isometry , Polar decomposition
Citation
Wills, S. J. (2007) 'On the generators of quantum stochastic operator cocycles', Markov Processes and Related Fields, 13(1), pp. 191-211.
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© 2007, Stephen J. Wills / Polymat