Alp, Pinar Zengin2025-10-112025-10-1120252473-6988https://doi.org/10.3934/math.2025510https://hdl.handle.net/20.500.12684/21515In this paper, we introduce a novel paranormed sequence space l(R Phi, p) constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces l(R Phi, p) and l(p) are linearly isomorphic. In addition, we identify the dual spaces associated with this sequence space and establish its Schauder basis.en10.3934/math.2025510info:eu-repo/semantics/openAccessalpha-,beta-, gamma-dualsparanormed sequence spaceRiesz matrixEuler Totient functionArticle10511260112702-s2.0-105007009647WOS:001492847100001Q1Q1