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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].

Other publications of the same journal or congress with authors from the University of Cantabria

 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