Ergodic Theory and Dynamical Systems

Research Article

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

T. KALMESa1

a1 Universität Trier, 54286 Trier, Germany (email: kalm4501@uni-trier.de)

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.

(Received January 19 2006)

(Revised February 01 2007)