Certain ways of constructing new spaces using ∆-approach
Keywords:
Cesăro sequence space diflerence operator BK-space.Abstract
Many authors have given various structures to Ces\`{a}ro spaces as cited in the text. The aim of this work is to define new spaces $\bigl[\mathcal{C}_1^g,\Delta,\mathfrak{X},\mathfrak{T},\lambda,\mathcal{q} \bigr]_0$, $\bigl[\mathcal{C}_1^g,\Delta,\mathfrak{X}, \mathfrak{T},\lambda,\mathcal{q} \bigr]_1$ and $\bigl[\mathcal{C}_1^g,\Delta,\mathfrak{X}, \mathfrak{T},\lambda,\mathcal{q} \bigr]_\infty$. We will study their basic topological properties. In our final section, we will compute some inclusion relations.
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