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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.03721 |
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| _version_ | 1866912694674653184 |
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| author | Raja, Matias |
| author_facet | Raja, Matias |
| contents | We introduce a new isomorphic quantity for Banach spaces, the index $Θ_X$, based on finite convex coverings of the unit ball. This index is closely related to the asymptotic moduli of uniform convexity and uniform smoothness, so that it can be calculated for several classical Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A covering index for Banach spaces Raja, Matias Functional Analysis 46B03, 46B06, 52A05 We introduce a new isomorphic quantity for Banach spaces, the index $Θ_X$, based on finite convex coverings of the unit ball. This index is closely related to the asymptotic moduli of uniform convexity and uniform smoothness, so that it can be calculated for several classical Banach spaces. |
| title | A covering index for Banach spaces |
| topic | Functional Analysis 46B03, 46B06, 52A05 |
| url | https://arxiv.org/abs/2503.03721 |