On paranormed sequence space arising from Riesz Euler Totient matrix
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.
Authors
- Pınar Zengin (ORCID: https://orcid.org/0000-0001-9699-7199)
Institutions
- Düzce Üniversitesi (TR)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025510
- Citations
- 1
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 2.63