On some new sequence spaces of non-absolute type and matrix transformations

In the present paper, we introduce the spaces c0Δuλ and cΔuλ, which are BK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c0 and c, respectively. We also compute their α-, β- and γ-duals and construct their basis. Finally, we characterize some matrix classes concerning with these spaces.