Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers

Published 31 Aug 2013 in math.FA | (1309.0152v1)

Abstract: In this paper, we apply the Hausdorff measure of noncompactness to obtain the necessary and sufficient conditions for certain matrix operators on the Fibonacci difference sequence spaces l_{p}(F) and l_{infinite}(F) to be compact, where 1<=p<infinite.

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