on the existence of subspace-diskcyclic c0-semigroups and some criteria

In this paper,  we prove the existance of subspace-diskcyclic $c_{0}$-semigroups   on any infinite-dimensional   separable banach space.  we state that diskcyclic $c_{0}$-semigroups are subspace-diskcyclic. also, we establish some criteria for subspace-diskcyclic $c_{0}$-semigroups. most of these criteria  are based on non-empty relatively open sets  and some of them are based on dense sets.