On the characterization of matrix domains using Cesaro and backward difference operators

Abstract

In this manuscript, the new sequence space $Z_\Phi$ for $Z \in \{c, c_0, \ell_\infty\}$ and $\Phi = C^m \Delta$ have been introduced using the Ces\`{a}ro matrix and backward difference operator. Some of the topological properties of these spaces have been studied and the existence of the Schauder basis for new spaces have been verified. Also, the $\alpha, \beta$ and $\gamma$-duals have been computed along with the characterization of the matrix transformation between new spaces.