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arxiv: 1309.0152 · v1 · pith:RC6AWPVWnew · submitted 2013-08-31 · 🧮 math.FA

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

classification 🧮 math.FA
keywords fibonacciinfinitematrixoperatorssequencespacesapplycertain
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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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