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.