Some new Fibonacci difference spaces of non-absolute type and compact operators

2016/04/25 by Das, Anupam, Hazarika, Bipan
#11B39 #46A45 #46B20 #46B45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1604.07396

Abstract

The aim of the paper is to introduced the spaces c₀^λ(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 c₀^λ(F) and c^λ(F). Here we characterize the subclasses K(X,Y) of compact operators where X is c₀^λ(F) or c^λ(F) and Y is one of the spaces c₀,c, l_∞, l₁, bv by applying Hausdorff measure of noncompactness.

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