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arXiv · 1809.03694

Chaotic translations on weighted Orlicz spaces

Chung-Chuan Chen·Kui-Yo Chen·Serap Öztop·Seyyed Mohammad Tabatabaie
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Abstract

Let $G$ be a locally compact group, $w$ be a weight on $G$ and $\Phi$ be a Young function. We give some characterizations for translation operators to be topologically transitive and chaotic on the weighted Orlicz space $L_w^\Phi(G)$. In particular, transitivity is equivalent to the blow-up/collapse property in our case. Moreover, the dense set of periodic elements implies transitivity automatically.

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Chung-Chuan Chen, Kui-Yo Chen, Serap Öztop, Seyyed Mohammad Tabatabaie. 2018-09-11. Chaotic translations on weighted Orlicz spaces. https://arxiv.org/abs/1809.03694

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