Universality of Affine Semigroups on Supercyclicity of the Sequence Operators

Mortada Saeed , Simon Joseph,

Abstract

In this paper, show that for all supercyclic strongly continuous sequence of operators semigroup acting on a complex Fj -space, every (1 ) T j +ε with ε > −1 is supercyclic. Furthermore, the set of supercyclic vectors of all (1 )T j +ε with ε > −1 is precisely the set of supercyclic vectors of the plenary semigroup.