Geodesic
Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers
Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 217 .

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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 $\ell_{p}(\widehat{F})$ and $\ell_{\infty}(\widehat{F})$ to be compact, where $1\leq p\infty$.
Classification : 46A45, 11B39, 46B50
Keywords: Sequence spaces, Fibonacci numbers, compact operators, Hausdorff measure of noncompactness 
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     title = {Compactness of matrix operators on some sequence spaces derived by {Fibonacci} numbers},
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E. E. Kara; M. Başarır; M. Mursaleen. Compactness of matrix operators on some sequence spaces derived by Fibonacci numbers. Kragujevac Journal of Mathematics, Tome 39 (2015) no. 2, p. 217 . http://geodesic.mathdoc.fr/item/KJM_2015_39_2_a9/