On some new difference sequence spaces of non-absolute type

In the present paper, we introduce the spaces c"0^@l(@D) and c^@l(@D) 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 @a-, @b- and @c-duals of those spaces and construct their bases. Finally, we characterize some matrix classes concerning the spaces c"0^@l(@D) and c^@l(@D).

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