Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions
An operator Tacting on a separable F-space Xis 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 a...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Recursos: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/32433 |
| Acesso em linha: | https://hdl.handle.net/10902/32433 |
| Access Level: | acceso abierto |
| Palavra-chave: | Space of entire functions Differentiation operator Extended eigenoperators Hypercyclic operators |
| Resumo: | An operator Tacting on a separable F-space Xis 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 and R. M. Aron and D. Markose. |
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