Geodesic
Generalized difference sequence spaces defined by a sequence of moduli
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 83 .

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In this paper, we introduce and study the new sequence spaces $[V,\lambda ,F,p,q,u]_{0}\left( \Delta _{v}^{m}\right)$, $[V,\lambda,F,p,q,u]_{1}\left( \Delta _{v}^{m}\right)$ and $[V,\lambda,F,p,q,u]_{\infty }\left( \Delta _{v}^{m}\right)$ which are generalized difference sequence spaces defined by a sequence of moduli in a locally convex Haussdorff topological linear space $X$ whose topology is determined by a finite set Q of continuous seminorms $q$. We also study various algebraic and topological properties of these spaces, and some inclusion relations between these spaces. This study generalizes results of Atıci and Bektaş [11].
Classification : 40C05 40H05
Keywords: Difference sequence spaces, sequence of Moduli, seminorm 
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Suzan Zeren; Çiğdem A. Bektaş. Generalized difference sequence spaces defined by a sequence of moduli. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 83 . http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a9/