İlkhan, MerveBayrakdar, Mehmet Akif2025-03-242025-03-2420212651-4001https://hdl.handle.net/20.500.12684/19526In 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.eninfo:eu-repo/semantics/openAccesssequence spaces|$\alpha-$|$\beta-$|$\gamma-$duals|Matrix mappings|Hausdorff measure of non-compactness|Compact operatorsArticle411425