Frequently Hypercyclic Composition Operators on The Little Lipschitz Space of A Rooted Tree
[EN] We characterize the strictly increasing symbols phi:N0 -> N0 whose composition operators Cphi satisfy the Frequent Hypercyclicity Criterion on the little Lipschitz space L0(N0) . With this result we continue the recent research about this kind of spaces and operators, but our approach re...
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| 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:dnet:riunet______::221b46d7bea4e1d303a94d4a9e2b51d0 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/234429 |
| Access Level: | acceso abierto |
| Palabra clave: | Composition operators Lipschitz space of a tree Frequent hypercyclicity |
| Sumario: | [EN] We characterize the strictly increasing symbols phi:N0 -> N0 whose composition operators Cphi satisfy the Frequent Hypercyclicity Criterion on the little Lipschitz space L0(N0) . With this result we continue the recent research about this kind of spaces and operators, but our approach relies on establishing a natural isomorphism between the Lipschitz-type spaces over rooted trees and the classical spaces l and c. Such isomorphism provides an alternative framework that simplifies and allows to improve many previous results about these spaces and the operators defined there. |
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