On some new difference sequence spaces of non-absolute type

In the present paper, we introduce the spaces c0λ(Δ) and cλ(Δ)cλ(Δ) of difference sequences which are the BKBK-spaces of non-absolute type and prove that these spaces are linearly isomorphic to the spaces c0c0 and cc, respectively. We also derive some inclusion relations. Furthermore, we determine the αα-, ββ- and γγ-duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c0λ(Δ) and cλ(Δ)cλ(Δ).