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

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Communications in Advanced Mathematical Sciences
Volume: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 İLKHAN, Mehmet Akif BAYRAKDAR

Pages : 14-25

View : 55 | Download : 15

Publication Date : 2021-03-29

Article Type : Research Paper

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

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