Abstract:Abstract. In the present paper, we introduce the sequence space a£ of non-absolute type and prove that the spaces a r v and lv are linearly isomorphic for 0 < ρ < oo. We also show that dp, which includes the space lp, is a p-normed space and a Β Κ space in the cases of 0 < ρ < 1 and 1 < ρ < oo, respectively. Furthermore, we give some inclusion relations and determine the α-, β-and 7-duals of the space a£ and construct its basis. We devote the last section of the paper to the characterization of the matrix mapp… Show more
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