Geodesic
Some Matrix and Compact Operators of the Absolute Fibonacci Series Spaces
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 2, p. 273

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In the present paper, we introduce the absolute Fibonacci space $\left|F_u\right|_{k}$, give some inclusion relations and investigate topological and algebraic structure such as $BK$-space, $\alpha$-, $\beta$-, $\gamma$- duals and Schauder basis. Further, we characterize certain matrix and compact operators on these spaces, also determine their norms and Hausdroff meausures of noncompactness.
Classification : 40C05, 11B39, 40D25, 40F05, 46A45
Keywords: absolute summability, Fibonacci numbers, matrix transformations, sequence spaces, bounded operators, Hausdroff meausures of noncompactness 
Fadime Gökçe; Mehmet Ali Sarigöl. Some Matrix and Compact Operators of the Absolute Fibonacci Series Spaces. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 2, p. 273 . http://geodesic.mathdoc.fr/item/KJM_2020_44_2_a7/
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     title = {Some {Matrix} and {Compact} {Operators} of the {Absolute} {Fibonacci} {Series} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
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