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

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URI: http://hdl.handle.net/10498/26369

DOI: 10.1016/j.jfa.2022.109391

ISSN: 0022-1236

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Author/s
Bensaid, Ikram Fatima Zohra; González, ManuelAuthority UCA; León Saavedra, FernandoAuthority UCA; Romero de la Rosa, María PilarAuthority UCA
Date
2022-04
Department
Matemáticas
Source
Journal ofFunctionalAnalysis282(2022)109391
Abstract
An operator T acting on a separable F-space X is called hypercyclic if there exists f∈X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-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]. © 2022 The Authors
Subjects
Space of entire functions; Differentiation operator; Extended eigenoperators; Hypercyclic operators
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional