- 期刊
ON SOME TOPOLOGICAL PROPERTIES OF GENERALIZED DIFFERENCE SEQUENCE SPACES
摘要
We obtain some topological results of the sequence spaces Δ^m(X), where Δ^m(X) = {x = (x_k) : (Δ^mx_k) ∈ X}, (m∈ N), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l_∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces Δ^m(l_∞),Δ^m(c), and Δ^m(c_0). Also we show that any matrix map from Δ^m(l_∞) into a BK-space which does not contain any subspace isomorphic to Δ^m(l_∞) is compact.
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