On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space

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Abstract

In this paper, we introduce the class of $n$-normed generalized difference sequences related to $\ell_p$-space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Keywords:

Generalized difference operator $n$-norm $n$-Banach space symmetricity solidness convergence free completeness.
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DOI

10.4208/ata.2014.v30.n2.7

How to Cite

On Some Class of $n$-Normed Generalized Difference Sequences Related to $\ell_p$-Space. (2014). Analysis in Theory and Applications, 30(2), 214-223. https://doi.org/10.4208/ata.2014.v30.n2.7
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