Paranormed Motzkin sequence spaces
DOI:
https://doi.org/10.56405/dngcrj.2024.09.01.04Keywords:
Motzkin numbers, Paranormed sequence spaces, Duals, Matrix mappingsAbstract
In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of these spaces. In the continuation of the study, Schauder basis and the $\alpha$-, $\beta$- and $\gamma$-duals are determined. Finally, some new matrix mappings are characterized related new paranormed sequence spaces.
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