Mathematische Zeitschrift

, Volume 261, Issue 3, pp 649–657

Dynamics of the differentiation operator on weighted spaces of entire functions

Article

DOI: 10.1007/s00209-008-0347-0

Cite this article as:
Bonet, J. Math. Z. (2009) 261: 649. doi:10.1007/s00209-008-0347-0

Abstract

The continuity of the differentiation operator on weighted Banach spaces of entire functions with sup-norm has been characterized recently by Harutyunyan and Lusky. We give necessary and sufficient conditions to ensure that the differentiation operator on these weighted Banach spaces of entire functions is hypercyclic or chaotic, when it is continuous.

Mathematics Subject Classification (2000)

Primary 47A16Secondary 46E1547B38

Keywords

Weighted spaces of entire functionsDifferentiation operatorHypercyclic operatorChaotic operator

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Instituto Universitario de Matemática Pura y Aplicada IUMPA, Edificio IDI5 (8E), Cubo F, Cuarta PlantaUniversidad Politécnica de ValenciaValenciaSpain