Geodesic
On Some Sequence Spaces of Non-Absolute Type
Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 195

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 introduce the notion of $\lambda_{v}$-convergent and bounded sequences. Further, we introduce the spaces $\ell_{\infty}^{\lambda}\left( \triangle_{v}\right)$, $c_{0}^{\lambda} \left(\triangle_{v}\right)$ and $c^{\lambda} \left( \triangle_{v} \right)$, which are BK-spaces of non-absolute type and we prove that these spaces are linearly isomorphic to the spaces $\ell_{\infty}$, $c_{0}$ and $c$, respectively. Moreover, we establish some inclusion relations between these spaces.
Classification : 46A45 46B20
Keywords: Sequence spaces of non-absolute type, BK-spaces, Difference Sequence Spaces 
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Sinan Ercan; Ciğdem A. Bektaş. On Some Sequence Spaces of Non-Absolute Type. Kragujevac Journal of Mathematics, Tome 38 (2014) no. 1, p. 195 . http://geodesic.mathdoc.fr/item/KJM_2014_38_1_a14/