مشخصات پژوهش

In this paper, we study the hypercyclicity of the weighted translation $C_{u,g}$ defined on Orlicz space $L^{\Phi}(G)$ where $G$ is a locally compact group, $g\in G$ and $u$ is a weight function on $G$. The necessary and sufficient conditions are given in such a way that $C_{u,g}$ and its adjoint to be hypercyclic whenever $g\in G$ is an aperiodic element.