| Texto completo | |
| Autor(es): |
Gomes, Daniel
;
Grosse-Erdmann, Karl-G.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Mathematical Analysis and Applications; v. 547, n. 2, p. 28-pg., 2025-07-15. |
| Resumo | |
We present a general and natural framework to study the dynamics of composition operators on spaces of measurable functions, in which we then reconsider the characterizations for hypercyclic and mixing composition operators obtained by Bayart, Darji and Pires in 2018. We show that the notions of hypercyclicity and weak mixing coincide in this context and, if the system is dissipative, the recurrent composition operators agree with the hypercyclic ones. We also give a characterization for invertible composition operators satisfying Kitai's Criterion, and we construct an example of a mixing composition operator not satisfying Kitai's Criterion. For invertible dissipative systems with bounded distortion we show that composition operators satisfying Kitai's Criterion coincide with the mixing operators. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| Processo FAPESP: | 21/02672-2 - Aspectos topológicos e ergódicos em dinâmica linear |
| Beneficiário: | Daniel Aguilar Gomes |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 23/03661-0 - Aspectos topológicos e ergódicos em dinâmica linear |
| Beneficiário: | Daniel Aguilar Gomes |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Doutorado |