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Dynamics of the differentiation operator on weighted spaces of entire functions

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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.

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Authors and Affiliations

  1. Instituto Universitario de Matemática Pura y Aplicada IUMPA, Edificio IDI5 (8E), Cubo F, Cuarta Planta, Universidad Politécnica de Valencia, 46022, Valencia, Spain

    José Bonet

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  1. José Bonet
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Correspondence to José Bonet.

Additional information

This research was partially supported by MEC and FEDER Project MTM2007-62643.

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Bonet, J. Dynamics of the differentiation operator on weighted spaces of entire functions. Math. Z. 261, 649–657 (2009). https://doi.org/10.1007/s00209-008-0347-0

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  • DOI: https://doi.org/10.1007/s00209-008-0347-0

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