A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences

Abstract

In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are characterized. Finally by the aid of measure of non-compactness, the conditions for which a matrix operator on these spaces is compact are determined.

Keywords

• sequence spaces
• $\alpha-$,$\beta-$,$\gamma-$duals
• matrix mappings
• hausdorff measure of non-compactness
• compact operators