Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas

, Volume 105, Issue 2, pp 397–402

The set of periods of chaotic operators and semigroups

Authors

  • Gustavo A. Muñoz-Fernández
    • Departamento de Análisis MatemáticoUniversidad Complutense de Madrid
    • Departamento de Análisis MatemáticoUniversidad Complutense de Madrid
  • Andreas Weber
    • Institut für Algebra und Geometrie, KIT
Survey

DOI: 10.1007/s13398-011-0016-8

Cite this article as:
Muñoz-Fernández, G.A., Seoane-Sepúlveda, J.B. & Weber, A. RACSAM (2011) 105: 397. doi:10.1007/s13398-011-0016-8

Abstract

This expository paper is devoted to the review of some very recent results concerning the set of periods of a chaotic operator T or a chaotic semigroup {T (t): t ≥  0} acting on a complex Banach space. We obtain information about the structure of the set of periods and we give techniques to construct (chaotic) strongly continuous semigroups with prescribed periods.

Keywords

Periods of strongly continuous semigroups Hypercyclic semigroups Chaotic semigroups

Mathematics Subject Classification (2000)

Primary 47A16 Secondary 47D06

Copyright information

© Springer-Verlag 2011