A-Frequent Hypercyclicity in an Algebra of Operators

Abstract

We study a notion of $\mathcal{A}$ 수식 이미지-frequent hypercyclicity of linear maps between the Banach algebras consisting of operators on a separable infinite dimensional Banach space. We prove a sufficient condition for a linear map to satisfy the $\mathcal{A}$ 수식 이미지-frequent hypercyclicity in the strong operator topology.