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Hypercyclic, mixing, and chaotic C0-semigroups induced by semiflows

Published online by Cambridge University Press:  01 October 2007

T. KALMES*
Affiliation:
Universität Trier, 54286 Trier, Germany (email: kalm4501@uni-trier.de)
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Abstract

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We characterize when C0-semigroups induced by semiflows are hypercyclic, topologically mixing, or chaotic both on spaces of integrable functions and on spaces of continuous functions. Furthermore, we give characterizations of transitivity for weighted composition operators on these spaces.

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 2007