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