The set of periods of chaotic operators and semigroups

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

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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

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