Tingley's problem for Schreier spaces and their $p$-convexifications
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917852996435968 |
|---|---|
| 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 |