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

Year 2021, Volume: 4 Issue: 1, 14 - 25, 29.03.2021

Merve İlkhan , Mehmet Akif Bayrakdar

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

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