Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on ℓp spaces

Abstract

In this paper, we give a characterization of a hypercyclic weighted composition operator on ℓp (1 ≤ p < ∞). We also obtain some necessary conditions and sufficient conditions for the supercyclicity and cyclicity of a weighted composition operator on ℓp (1 ≤ p < ∞. © 2021 Walter de Gruyter GmbH, Berlin/Boston.