Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on \(\ell^p\) spaces
The authors show that weighted composition operators provide examples which clarify the notions of hypercyclicity, supercyclicity and cyclicity. They obtain a characterization of a hypercyclic weighted composition operator on \(l^{p}\) spaces. They also give two necessary conditions and a sufficient condition for the cyclicity of a weighted composition operator on \(l^{p}\) spaces (\(1 \leq p < \infty\)).
scientific article; zbMATH DE number 7442621