New type of sequence spaces of non-absolute type and some matrix transformations

Sheikh, Neyaz Ahmed and Jalal, Tanweer and Ganie, Ab. Hamid (2013) New type of sequence spaces of non-absolute type and some matrix transformations. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 29 (1). pp. 51-66. ISSN 0866-0174

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Abstract

In this paper, we introduce the sequence space e r u (p). We show it posses BK-property, prove that the space e r u (p) and l(p) are linearly isomorphic to each other and also compute the α-, β- and γ-duals of e r u (p) and discuss some of its inclusion properties. Furthermore, we construct the basis of e r u (p). Moreover, we characterize the classes (e r u (p): lp) and (e r u (p): f) of infinite matrices.

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