Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
30 January 2020 |
14 February 2020 |
10 March 2020 |
Abstract: A bounded linear operator T acting on a topological vector space X is called recurrent if for every nonempty open subset U⊂X there is an integer n such that TⁿU∩U≠∅. In this work, we introduce the notion of quasi-periodicity in the context of topological vector space. This leads us to define a new class of operators in connection with recurrent operators. We also give a characterization of quasi-periodicity of operators and we establish some of their properties.