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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2502.18217 |
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| _version_ | 1866910844026093568 |
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| author | Bandyopadhyay, Pradipta Gothwal, Deepak |
| author_facet | Bandyopadhyay, Pradipta Gothwal, Deepak |
| contents | In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of equivalent AUS norms. We discuss similar residuality results for uniformly smooth norms and norms with uniform Mazur intersection property (UMIP). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18217 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | (Asymptotic) uniform smoothness, ball separation and residuality results Bandyopadhyay, Pradipta Gothwal, Deepak Functional Analysis 46B20 In this article, we discuss a ball separation characterisation of asymptotically uniformly smooth (AUS) norms. We use this characterisation to prove the residuality of the set of equivalent AUS norms. We discuss similar residuality results for uniformly smooth norms and norms with uniform Mazur intersection property (UMIP). |
| title | (Asymptotic) uniform smoothness, ball separation and residuality results |
| topic | Functional Analysis 46B20 |
| url | https://arxiv.org/abs/2502.18217 |