Universality of affine semi-groups on supercyclicity of the sequence operators

摘要

In this paper, show that for all supercyclic strongly continuous sequence of operators semi-group on a complex ? -space, every (1+ ) with ?1 is supercyclic. Also, the sets of all supercyclic vectors (1+ ) with ?1 are precisely the sets of supercyclic vectors of the entire semi-group.