Some Generalized Difference Sequence Spaces of Non-Absolute Type

n this paper, we introduce the spaces ℓ sub ∞ /sub (Δ sub λ /sub sup m /sup ), c(Δ sub λ /sub sup m /sup ) and c sub 0 /sub (Δ sub λ /sub sup m /sup ); which are BK-spaces of non-absolute type and we prove that these spaces are linearly isomorphic to the spaces ℓ sub ∞ /sub , c and c sub 0 /sub ; respectively. Moreover, we give some inclusion relations and compute the α--, β -- and γ--duals of these spaces. We also determine the Schauder basis of the c (Δ sub λ /sub sup m /sup ) and c sub 0 /sub (Δ sub λ /sub sup m /sup ).