Hypercyclicity for the Elements of the Commutant of an Operator
ABSTRACT:Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from ?I has a hypercyclic multiple, and we show several examples of operators satisfying this condition. We emphasize that for some...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/8000 |
| Acceso en línea: | http://hdl.handle.net/10902/8000 |
| Access Level: | acceso abierto |
| Palabra clave: | Composition operator Hypercyclic commutant Hypercyclic operator Cesàro operator |
| Sumario: | ABSTRACT:Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from ?I has a hypercyclic multiple, and we show several examples of operators satisfying this condition. We emphasize that for some of these examples we do not have a description of the commutant of T. |
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