Geometric properties of Taylor sequence spaces
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-025-03294-7 |
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| _version_ | 1849769661450682368 |
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| author | Gholamreza Talebi |
| author_facet | Gholamreza Talebi |
| author_sort | Gholamreza Talebi |
| collection | DOAJ |
| description | Abstract 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 ℓ p $\ell_{p}$ spaces. |
| format | Article |
| id | doaj-art-a5120ecc060542bbb387ac43b6d8a3f0 |
| institution | DOAJ |
| issn | 1029-242X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-a5120ecc060542bbb387ac43b6d8a3f02025-08-20T03:03:20ZengSpringerOpenJournal of Inequalities and Applications1029-242X2025-04-01202511710.1186/s13660-025-03294-7Geometric properties of Taylor sequence spacesGholamreza Talebi0Department of Mathematics, Faculty of Mathematics, Vali-e-Asr University of RafsanjanAbstract 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 ℓ p $\ell_{p}$ spaces.https://doi.org/10.1186/s13660-025-03294-7Radon-Riesz propertyUniform smoothnessUniform rotundity |
| spellingShingle | Gholamreza Talebi Geometric properties of Taylor sequence spaces Journal of Inequalities and Applications Radon-Riesz property Uniform smoothness Uniform rotundity |
| title | Geometric properties of Taylor sequence spaces |
| title_full | Geometric properties of Taylor sequence spaces |
| title_fullStr | Geometric properties of Taylor sequence spaces |
| title_full_unstemmed | Geometric properties of Taylor sequence spaces |
| title_short | Geometric properties of Taylor sequence spaces |
| title_sort | geometric properties of taylor sequence spaces |
| topic | Radon-Riesz property Uniform smoothness Uniform rotundity |
| url | https://doi.org/10.1186/s13660-025-03294-7 |
| work_keys_str_mv | AT gholamrezatalebi geometricpropertiesoftaylorsequencespaces |