Dynamical System and Semi-Hereditarily Hypercyclic Property

Subject Areas : International Journal of Industrial Mathematics

K. Jahedi ¹

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

Received: 2013-11-30 Accepted : 2013-11-30 Published : 2014-01-01

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

Abstract :

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 .