Chaotic translations on weighted Orlicz spaces
Volume 122 / 2019
Annales Polonici Mathematici 122 (2019), 129-142
MSC: Primary 47A16; Secondary 46E30.
DOI: 10.4064/ap180910-21-1
Published online: 10 June 2019
Abstract
Let $G$ be a locally compact group, and let $w$ be a weight on $G$. Let $\varPhi $ be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space $L_w^\varPhi (G)$. In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.
