Köthe-Toeplitz duals of some generalized difference sequence spaces and their perfectness via α-Dual

The concept of difference sequence spaces have been given by M.Et.and Colak . In this paper, we defined Spaces ∆_v^r (l_∞ ) ,∆_v^r (c) and (c_0 their α- duals or Köthe – Töeplitz dual also discuss about some topological property these spaces. Further, checked perfectness properties like monotone solidness also.