Basic Properties of Tempered ν-Sequence Spaces
In this paper, we will introduce tempered ν-sequence spaces generated by directed preserving generator ν. After building the spaces, we investigate and show tempered ν-sequence spaces are Banach spaces. In addition, we also find that there is an isomorphism between tempered ν-sequence spaces and the classical one. The direct implication is that some tempered ν-sequence spaces have a Schauder basis.
Authors
- Minanur Rohman (ORCID: https://orcid.org/0000-0003-0941-3787)
- Nihat Altınışık (ORCID: https://orcid.org/0000-0002-8914-4240)
- İlker Eryılmaz (ORCID: https://orcid.org/0000-0002-3590-892X)
- Eduardus Beo Seso Delvion
- Moh. Nurul Huda (ORCID: https://orcid.org/0000-0003-3952-2706)
Institutions
- Ondokuz Mayıs University (TR)
Publication Details
- Journal
- GAZI UNIVERSITY JOURNAL OF SCIENCE
- Published
- 2025-04-26
- DOI
- https://doi.org/10.35378/gujs.1403424
- Primary Topic
- Fuzzy and Soft Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00