%0 Journal Article
%T On some topological properties of generalized difference sequence spaces
%A Mikail Et
%J International Journal of Mathematics and Mathematical Sciences
%D 2000
%I Hindawi Publishing Corporation
%R 10.1155/s0161171200002325
%X We obtain some topological results of the sequence spaces Δm(X), where Δm(X)={x=(xk):(Δmxk)∈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 Δm(l∞),   Δm(c), and Δm(c0). Also we show that any matrix map from Δm(l∞) into a BK-space which does not contain any subspace isomorphic to Δm(l∞) is compact.
%U http://www.hindawi.com/journals/ijmms/2000/716581/abs/