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Chaotic differential operators

Original Paper

Abstract

We give sufficient conditions for chaos of (differential) operators on Hilbert spaces of entire functions. To this aim we establish conditions on the coefficients of a polynomial P(z) such that P(B) is chaotic on the space \({\ell^p}\) , where B is the backward shift operator.

Keywords

Chaotic operators Hypercyclic operators Differential operators Backward shifts 

Mathematics Subject Classification (2000)

47A16 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • J. Alberto Conejero
    • 1
  • Félix Martínez-Giménez
    • 1
  1. 1.Departamento Matemática Aplicada, IUMPAUniversidad Politécnica de ValenciaValenciaSpain

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