Dynamics of multivalued linear operators
[EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these propert...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/107406 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/107406 |
| Access Level: | acceso abierto |
| Palabra clave: | Hypercyclicity Topological transitivity Topologically mixing property Devaney chaos Multivalued linear operators MATEMATICA APLICADA |
| Sumario: | [EN] We introduce several notions of linear dynamics for multivalued linear operators (MLO¿s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO¿s is also considered. |
|---|