Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-14T17:45:03.318Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)