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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
Consult in UCrea Read publication
BENSAID, IKRAM FATIMA ZOHRA
MANUEL GONZALEZ ORTIZ
LEÓN-SAAVEDRA, FERNANDO
ROMERO DE LA ROSA, MARÍA PILAR
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