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arxiv: 1809.03694 · v1 · pith:WBCWE4ORnew · submitted 2018-09-11 · 🧮 math.FA

Chaotic translations on weighted Orlicz spaces

classification 🧮 math.FA
keywords chaoticorlicztransitivityweightedautomaticallyblow-upcasecharacterizations
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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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