On supercyclicity of operators from a supercyclic semigroup

We show that for every supercyclic strongly continuous operator semigroup { T t } t ⩾ 0 acting on a complex F -space, every T t with t > 0 is supercyclic. Moreover, the set of supercyclic vectors of each T t with t > 0 is exactly the set of supercyclic vectors of the entire semigroup.