Paranormed Motzkin sequence spaces
In this article, it is obtained two new paranormed sequence spaces $c_0(\mathcal{M}, \mathfrak{p})$ and $c(\mathcal{M},\mathfrak{p})$ by the aid of the conservative Motzkin matrix operator $\mathcal{M}$ and is examined some topological properties of these spaces. In the continuation of the study, Schauder basis and the $\alpha$-, $\beta$- and $\gamma$-duals are determined. Finally, some new matrix mappings are characterized related new paranormed sequence spaces.
Authors
- Serkan Demiriz (ORCID: https://orcid.org/0000-0002-4662-6020)
- Hacer Bilgin Ellidokuzoğlu (ORCID: https://orcid.org/0000-0003-1658-201X)
- Sezer Erdem (ORCID: https://orcid.org/0000-0001-9420-8264)
Institutions
- Recep Tayyip Erdoğan University (TR)
- Tokat Gaziosmanpaşa Üniversitesi (TR)
- Malatya Turgut Özal Üniversitesi (TR)
- Turgut Özal University (TR)
Publication Details
- Journal
- Dera Natung Government College Research Journal
- Published
- 2024-12-30
- DOI
- https://doi.org/10.56405/dngcrj.2024.09.01.04
- Citations
- 4
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 3.56