Dynamical System and Semi-Hereditarily Hypercyclic Property

الموضوعات : مجله بین المللی ریاضیات صنعتی

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

تاريخ الإرسال : 27 السبت , محرم, 1435 تاريخ التأكيد : 27 السبت , محرم, 1435 تاريخ الإصدار : 29 الأربعاء , صفر, 1435

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

ملخص المقالة :

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 .