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Discrete subsemigroups of hypercyclic C0-semigroups are hypercyclic

Published online by Cambridge University Press:  24 November 2005

WOLFGANG DESCH  and
WILHELM SCHAPPACHER
WOLFGANG DESCH
Affiliation:
Karl-Franzens-Universität Graz, Institut für Mathematik und Wissenschaftliches Rechnen, Heinrichstraße 36, A-8010 Graz, Austria (e-mail: georg.desch@uni-graz.at, wilhelm.schappacher@uni-graz.at)
WILHELM SCHAPPACHER
Affiliation:
Karl-Franzens-Universität Graz, Institut für Mathematik und Wissenschaftliches Rechnen, Heinrichstraße 36, A-8010 Graz, Austria (e-mail: georg.desch@uni-graz.at, wilhelm.schappacher@uni-graz.at)
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Abstract

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If S(t) is a C0-semigroup on a Banach space X with a hypercyclic vector x, then x is a hypercyclic vector for each discrete semigroup $\lbrace S(kT)\mid k \in \mathbb{N}\rbrace$ with T > 0 fixed.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 87 - 92
Copyright
2005 Cambridge University Press