Chaotic skew-products of operators on Fréchet spaces
[EN] In this work, we present some results regarding the dynamics of skew-products involving (linear and continuous) operators defined on Fréchet spaces. We provide a criterion for the density of periodic points, as well as criteria for topological transitivity and mixing. As applications, we show t...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| 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:10251/232667 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/232667 |
| Access Level: | acceso abierto |
| Palabra clave: | Skew-products Chaos Mixing Convolution operators |
| Sumario: | [EN] In this work, we present some results regarding the dynamics of skew-products involving (linear and continuous) operators defined on Fréchet spaces. We provide a criterion for the density of periodic points, as well as criteria for topological transitivity and mixing. As applications, we show that skew-products of convolution operators defined on the space of entire functions and skew-products of adjoint multiplier operators defined on the Hardy space, are topologically transitive, mixing, and even Devaney chaotic under several weak) assumptions on the function defining the skew-product. |
|---|