Dynamical System and Semi-Hereditarily Hypercyclic Property

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

K. Jahedi ¹ (Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran)

تاریخ دریافت : 1392/09/09 تاریخ پذیرش : 1392/09/09 تاریخ انتشار : 1392/10/11

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

چکیده مقاله :

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 .