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 difference
sequence Spaces ∆𝑣
𝑟
(𝑙∞) , ∆𝑣
𝑟
(𝑐) 𝑎𝑛𝑑 ∆𝑣
𝑟
(𝑐0
) 𝑎𝑛𝑑 their 𝛼 − duals or Köthe – Töeplitz dual and also discuss about some
topological property of these spaces. Further, we checked perfectness of these spaces and checked some properties like
monotone and solidness of these spaces also.