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Hypercyclicity of operators that ?-commute with the differentiation operator on the space of entire functions

Abstract: An operator T acting on a separable F-space X is called hypercyclic if there exists f ? X such that the orbit {T nf} is dense in X. Here we determine when an operator that ?commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy and J. H. Shapiro [16] and R. M. Aron and D. Markose [1].

 Fuente: Journal of Functional Analysis, 2022, 282(8), 109391

 Publisher: Elsevier

 Publication date: 01/04/2022

 No. of pages: 23

 Publication type: Article

 DOI: 10.1016/j.jfa.2022.109391

 ISSN: 0022-1236,1096-0783

 Spanish project: MTM2016-76958

 Publication Url: https://doi.org/10.1016/j.jfa.2022.109391

Authorship

BENSAID, IKRAM FATIMA ZOHRA

LEÓN-SAAVEDRA, FERNANDO

ROMERO DE LA ROSA, MARÍA PILAR