Research Communication | Open Access
Volume 2020 | Communication ID 161 |

Quasi-periodicity of operators

Noureddine Karim, Mohammed Amouch
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.