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

  • Gustavo A. Muñoz-Fernández
  • Juan B. Seoane-Sepúlveda
  • Andreas Weber
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 semigroupsHypercyclic semigroupsChaotic semigroups

Mathematics Subject Classification (2000)

Primary 47A16Secondary 47D06

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Gustavo A. Muñoz-Fernández
    • 1
  • Juan B. Seoane-Sepúlveda
    • 1
  • Andreas Weber
    • 2
  1. 1.Departamento de Análisis MatemáticoUniversidad Complutense de MadridMadridSpain
  2. 2.Institut für Algebra und Geometrie, KITKarlsruheGermany