On recurrent sets of operators
| Autor: | Mohamed Amouch, Otmane Benchiheb |
|---|---|
| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.66691 |
| Popis: | An operator $T$ acting on a Banach space $X$ is said to be recurrent if for each $U$; a nonempty open subset of $X$, there exists $n\in\mathbb{N}$ such that $T^n(U)\cap U\neq\emptyset.$ In the present work, we generalize this notion from a single operator to a set $\Gamma$ of operators. As application, we study the recurrence of $C$-regularized group of operators. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|