Extremes of interpolation scales of Banach spaces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909192479047680 |
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| author | Corrêa, Willian Ferenczi, Valentin Gesing, Rafela Tradacete, Pedro |
| author_facet | Corrêa, Willian Ferenczi, Valentin Gesing, Rafela Tradacete, Pedro |
| contents | M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the validity of this result and related ones on the extremes of the scale, with applications to uniform homeomorphism between spheres of Banach spaces and the sphere of $\ell_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extremes of interpolation scales of Banach spaces Corrêa, Willian Ferenczi, Valentin Gesing, Rafela Tradacete, Pedro Functional Analysis 46B80, 46B70 M. Daher gave conditions so that the spheres of the spaces in the interior of a complex interpolation scale are uniformly homeomorphic. We look for sufficient conditions for the validity of this result and related ones on the extremes of the scale, with applications to uniform homeomorphism between spheres of Banach spaces and the sphere of $\ell_2$. |
| title | Extremes of interpolation scales of Banach spaces |
| topic | Functional Analysis 46B80, 46B70 |
| url | https://arxiv.org/abs/2405.03867 |