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    On the Euler sequence spaces which include the spaces lp and l?I
    (Elsevier Science Inc, 2006) Altay, B; Basar, F; Mursaleen, M
    In the present paper, we introduce the Euler sequence space e(p)(r) consisting of all sequences whose Euler transforms of order r are in the space e,, of non-absolute type which is the BK-space including the space l(p) and prove that the spaces e(p)(r) and l(p) are linearly isomorphic for 1 <= p <= infinity. Furthermore, we give some inclusion relations concerning the space e(p)(r). Finally, we determine the alpha-, beta- and gamma-duals of the space e(p)(r) for 1 <= p <= infinity and construct the basis for the space e(p)(r), where 1 <= P <= infinity. (c) 2005 Elsevier Inc. All rights reserved.