Abstract. The aim of the paper is to introduced the spaces c λ 0 (F ) and c λ (F ) which are the BK-spaces of non-absolute type and also derive some inclusion relations. Further, we determine the α−, β−, γ−duals of those spaces and also construct their bases. We also characterize some matrix classes on the spaces c λ 0 (F ) and c λ (F ). Here we characterize the subclasses K(X, Y ) of compact operators where X is c λ 0 (F ) or c λ (F ) and Y is one of the spaces c 0 , c, l∞, l 1 , bv by applying Hausdorff measure of noncompactness.
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