Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions
A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended λ-eigenoperator of the differentiation operator D provided DL = λLD. Here we fully characterize when an extended λ-eigenoperator of D is supercyclic, it has a hypercyclic subspace or it has a super...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/34890 |
| Acceso en línea: | https://hdl.handle.net/10902/34890 |
| Access Level: | acceso abierto |
| Palabra clave: | Space of entire functions Differentiation operator Eigenoperators Supercyclic operators Hypercyclic subspaces |
| Sumario: | A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended λ-eigenoperator of the differentiation operator D provided DL = λLD. Here we fully characterize when an extended λ-eigenoperator of D is supercyclic, it has a hypercyclic subspace or it has a supercyclic subspace. |
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