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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

 Editorial: Elsevier

 Fecha de publicación: 01/04/2022

 Nº de páginas: 23

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jfa.2022.109391

 ISSN: 0022-1236,1096-0783

 Proyecto español: MTM2016-76958

 Url de la publicación: https://doi.org/10.1016/j.jfa.2022.109391

Autoría

BENSAID, IKRAM FATIMA ZOHRA

LEÓN-SAAVEDRA, FERNANDO

ROMERO DE LA ROSA, MARÍA PILAR