Abstract

In this paper we define the sequence sets ℓ ∞( u, Δ 2, p), c( u, Δ 2, p) and c 0( u, Δ 2, p), and give α- and β-duals of these sets. Further we investigate matrix transformations in the spaces and give a characterization of the class (ℓ ∞( u, Δ 2, p),ℓ ∞).

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