Some characterizations of disjoint topological transitivity on Orlicz spaces

Abstract

Abstract In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient condition and a necessary condition for powers of weighted translations to be disjoint topologically transitive are obtained as well.

Keywords

• Topological transitivity
• Disjoint topological transitivity
• Weighted translation
• Orlicz space
• Locally compact group