Geometric properties of Taylor sequence spaces
This paper mainly intends to investigate some geometric properties of Taylor sequence spaces. We examine the uniform rotundity, uniform smoothness, and the Radon-Riesz property of these spaces. Our results provide new examples of sequence spaces with these properties, although they are not isomorphic to $\ell_{p}$ spaces.
Authors
- Gholamreza Talebi (ORCID: https://orcid.org/0000-0002-6781-440X)
Institutions
- Vali Asr University of Rafsanjan (IR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-04-04
- DOI
- https://doi.org/10.1186/s13660-025-03294-7
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00