On Disjoint Dynamical Properties and Lipschitz-Free Spaces
[EN] The notion of disjoint A-transitivity for a Furstenberg family A is introduced with the aim of generalizing properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic properties, including necessary conditions to inherit the property on the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/219970 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/219970 |
| Access Level: | acceso abierto |
| Palabra clave: | Hypercyclicity Disjoint Hypercyclicity Linear Dynamics Lipschitz-free Metric spaces |
| Sumario: | [EN] The notion of disjoint A-transitivity for a Furstenberg family A is introduced with the aim of generalizing properties derived from disjoint hypercyclic operators. We begin a systematic study by showing some of the basic properties, including necessary conditions to inherit the property on the whole space from an invariant linearly dense set containing the origin. As a consequence, we continue the study of the link between non-linear and linear dynamics through Lipschitz-free spaces by presenting some necessary conditions to obtain disjoint A-transitivity for families of Lipschitz-free operators on F(M) expressed in terms of conditions in the underlying metric space M. |
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