On some new difference sequence spaces of non-absolute type

In the present paper, we introduce the spaces c(0)(lambda)(Delta) and c(lambda)(Delta) of difference sequences which are the BK-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 alpha-, beta- and gamma-duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c(0)(lambda)(Delta) and c(lambda)(Delta). (C) 2010 Elsevier Ltd. All rights reserved.