Li-Yorke Chaos for Composition operators on Orlicz-Lorentz spaces

Abstract

In this paper, we study the Li-Yorke chaotic composition operators on Orlicz-Lorentz space. In fact, necessary and sufficient conditions are given for Li-Yorke chaotic composition operator $C_{\tau }$ on ${\mathbb{L}}^{\phi ,h}(\mu )$. Further, we present the equivalent conditions for $C_{\tau }$ to be Li-Yorke chaotic. This paper's results are the generalization of results of [15] into Orlicz-Lorentz spaces.