Dynamical System and Semi-Hereditarily Hypercyclic Property

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 .

Keywords:

Tuple , Hypercyclic vector , Hypercyclicity Criterion , Hereditarily hypercyclicity , Hynamical system , periodic point