Dynamical System and Semi-Hereditarily Hypercyclic Property

Document Type : Research Paper


Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran


In this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the Hypercyclicity Criterion. We characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional Banach space .