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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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     author = {E. E. Kara and M. Ba\c{s}ar{\i}r and M. Mursaleen},
     title = {Compactness of matrix operators on some sequence spaces derived by {Fibonacci} numbers},
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     pages = {217 },
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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/