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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2503.05097 |
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| _version_ | 1866915185022730240 |
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| author | Cabrera-Padilla, M. G. Jiménez-Vargas, A. Miura, Takeshi Villegas-Vallecillos, Moisés |
| author_facet | Cabrera-Padilla, M. G. Jiménez-Vargas, A. Miura, Takeshi Villegas-Vallecillos, Moisés |
| contents | Let $A$ be a complex Banach space with a norm $\|f\|=\|f\|_X+\|d(f)\|_Y$ for $f\in A$, where $d$ is a complex linear map from $A$ onto a Banach space $B$, and $\|\cdot\|_K$ represents the supremum norm on a compact Hausdorff space $K$. In this paper, we characterize surjective isometries on $(A,\|\cdot\|)$, which may be nonlinear. This unifies former results on surjective isometries between specific function spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05097 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Surjective isometries on function spaces with derivatives Cabrera-Padilla, M. G. Jiménez-Vargas, A. Miura, Takeshi Villegas-Vallecillos, Moisés Functional Analysis Let $A$ be a complex Banach space with a norm $\|f\|=\|f\|_X+\|d(f)\|_Y$ for $f\in A$, where $d$ is a complex linear map from $A$ onto a Banach space $B$, and $\|\cdot\|_K$ represents the supremum norm on a compact Hausdorff space $K$. In this paper, we characterize surjective isometries on $(A,\|\cdot\|)$, which may be nonlinear. This unifies former results on surjective isometries between specific function spaces. |
| title | Surjective isometries on function spaces with derivatives |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.05097 |