On non-absolute type spaces and their Köthe-Toeplitz duals

In this paper, we introduce and study some non-absolute type spaces l∞(u,λ,Δvm), c0(u,λ,Δvm) and c(u,λ,Δvm), which are BK-spaces. Moreover, we prove that these spaces are linearly isomorphic to the spaces l∞,c0 and c. We also make an effort to establish some inclusion relations between these spaces. Furthermore, we find the Schauder basis for these spaces and also determine the α-, β- and γ-duals of these spaces.