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Ergodic Theory and Dynamical Systems Ergodic Theory and Dynamical Systems

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

Published online by Cambridge University Press:  01 October 2007

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

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 5 , October 2007 , pp. 1599 - 1631
Copyright
Copyright © Cambridge University Press 2007

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