Surjectivity in Fréchet spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909276551774208 |
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| author | Ivanov, Milen Zlateva, Nadia |
| author_facet | Ivanov, Milen Zlateva, Nadia |
| contents | We prove surjectivity result in Fréchet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms.
Our method works for functions which are only continuous and Gâteaux differentiable like in the recent result of Ekeland.
We present the results in multi-valued setting exploring the relevant notions of map regularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_07055 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Surjectivity in Fréchet spaces Ivanov, Milen Zlateva, Nadia Functional Analysis 49J53, 47H04, 54H25 We prove surjectivity result in Fréchet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and Gâteaux differentiable like in the recent result of Ekeland. We present the results in multi-valued setting exploring the relevant notions of map regularity. |
| title | Surjectivity in Fréchet spaces |
| topic | Functional Analysis 49J53, 47H04, 54H25 |
| url | https://arxiv.org/abs/1805.07055 |