- Communications in Advanced Mathematical Sciences
- Vol: 4 Issue: 1
- A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Seque...
A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences
Authors : Merve Ilkhan, Mehmet Akif Bayrakdar
Pages : 14-25
View : 10 | Download : 6
Publication Date : 2021-03-29
Article Type : Research
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, $alpha-$, $eta-$, $gamma-$duals, Matrix mappings, Hausdorff measure of non-compactness, Compact operators