Abstract
This manuscript begins with an introduction to a soft theta-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft theta-kernel operator is weaker than soft kernel operator but stronger than soft theta-closure. Both soft theta-closure and soft theta-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft R-i-topologies and soft T-j-topologies, for i=0,1 and j=0,1,2.