Hypercyclicity of Composition Operators on Orlicz Function Spaces

Abstract

<jats:title>Abstract</jats:title><jats:p>In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are considered. It is shown that there is no hypercyclic multiplication operator on Orlicz spaces.</jats:p>