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On the spectrum of completely positive Toeplitz Operators and Weak Coupling Limit type generators

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Bolaños Servin, Jorge Ricardo

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On the spectrum of completely positive Toeplitz Operators and Weak Coupling Limit type generators
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10
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In this talk the notion of circulant c.p. map will be extended to the Toeplitz case together with the usual technique of invariant subspaces in order to study the operator itself and its spectrum. Some results and simple cases will be reviewed. Finally, the relation between Toeplitz maps and a family of (non degenerate) WCLT generators will be described together with some simple results regarding the spectrum. This is a work in progress.
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