Subspaces of frequently hypercyclic functions for sequences of composition operators.
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspa...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/85392 |
| Acceso en línea: | https://hdl.handle.net/11441/85392 https://doi.org/10.1007/s00365-019-09455-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Hypercyclic sequence of operators Composition operator Frequent hypercyclicity Holomorphic function Lineability |
| Sumario: | In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such a criterion improves some already known special cases, and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic. |
|---|