Typical Lipschitz mappings are typically non-differentiable
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913786565230592 |
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| author | Dymond, Michael Maleva, Olga |
| author_facet | Dymond, Michael Maleva, Olga |
| contents | We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is a new result even for Lipschitz mappings between Euclidean spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_09644 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Typical Lipschitz mappings are typically non-differentiable Dymond, Michael Maleva, Olga Functional Analysis 26B05, 26A16 We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is a new result even for Lipschitz mappings between Euclidean spaces. |
| title | Typical Lipschitz mappings are typically non-differentiable |
| topic | Functional Analysis 26B05, 26A16 |
| url | https://arxiv.org/abs/2111.09644 |