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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.00891 |
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| _version_ | 1866917852996435968 |
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| author | Fakhoury, Micheline |
| author_facet | Fakhoury, Micheline |
| contents | We describe the surjective isometries of the unit sphere of real Schreier spaces of all orders and their $p$-convexifications, for $1 < p < \infty$. This description allows us to provide for those spaces a positive answer to a special case of Tingley's problem, which asks whether every surjective isometry of the unit sphere of a real Banach space can be extended to a linear isometry of the entire space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tingley's problem for Schreier spaces and their $p$-convexifications Fakhoury, Micheline Functional Analysis We describe the surjective isometries of the unit sphere of real Schreier spaces of all orders and their $p$-convexifications, for $1 < p < \infty$. This description allows us to provide for those spaces a positive answer to a special case of Tingley's problem, which asks whether every surjective isometry of the unit sphere of a real Banach space can be extended to a linear isometry of the entire space. |
| title | Tingley's problem for Schreier spaces and their $p$-convexifications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2412.00891 |