Year: 2025
Type: article
Abstract: In this paper, we introduce a novel paranormed sequence space $ \mathit{l} ({R_{\Phi}}, p) $ constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces $ \mathit{l} ({R_{\Phi}}, p) $ and $ \mathit{l} (p) $ are linearly isomorphic. In addition, we identify the dual spaces associated with this sequence space and establish its Schauder basis.
Source: AIMS Mathematics
DOI: 10.3934/math.2025510
Author: Pınar Zengin Alp
Institution: Düzce Üniversitesi
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
OpenAlex ID: W4410503564