On some new difference sequence spaces of non-absolute type

In the present paper, we introduce the spaces c 0 λ ( Δ ) and c λ ( Δ ) of difference sequences which are the B K -spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c 0 and c , respectively. We also derive some inclusion relations. Furthermore, we determine the α -, β - and γ -duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c 0 λ ( Δ ) and c λ ( Δ ) .