Abstract:In this article, we give equivalent conditions for the hypercyclicity of bilateral operator-weighted shifts on L 2 (K) with weight sequence {A n } ∞ n=−∞ of positive invertible diagonal operators on a separable complex Hilbert space K, as well as for hereditarily hypercyclicity and supercyclicity.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.