Research Communication | Open Access
Volume 2020 | Communication ID 61 |

Recurrence of sets of operators and application

Otmane Benchiheb, Mohamed Amouch
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
02 January 2020
17 January 2020
10 March 2020

Abstract: 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∈N such that Tⁿ(U)∩U≠∅. In the present work, we generalize this notion from a single operator to a set Γ of operators. As application, we study the recurrence of C-regularized group of operators.