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Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators

  • L. Bernal-González
  • M. C. Calderón-Moreno
  • A. Jung
  • J. A. Prado-BassasEmail author
Article

Abstract

In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic.

Keywords

Hypercyclic sequence of operators Composition operator Frequent hypercyclicity Holomorphic function Lineability 

Mathematics Subject Classification

30E10 47B33 47A16 47B38 

Notes

Acknowledgements

The first, second, and fourth authors have been partially supported by Plan Andaluz de Investigación de la Junta de Andalucía FQM-127 Grant P08-FQM-03543 and by MEC Grant MTM2015-65242-C2-1-P. The third author has been supported by DFG-Forschungsstipendium JU 3067/1-1.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • L. Bernal-González
    • 1
  • M. C. Calderón-Moreno
    • 1
  • A. Jung
    • 2
  • J. A. Prado-Bassas
    • 3
    Email author
  1. 1.Departamento de Análisis Matemático, Instituto de Matemáticas Antonio de Castro Brzezicki (IMUS), Facultad de MatemáticasUniversidad de SevillaSevillaSpain
  2. 2.Fachbereich IV MathematikUniversität TrierTrierGermany
  3. 3.Departamento de Análisis Matemático Facultad de MatemáticasUniversidad de SevillaSevillaSpain

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