Skew-adjoint linear relatioins between Banach spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911232196345856 |
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| author | Li, Hanchen Zhu, Chaofeng |
| author_facet | Li, Hanchen Zhu, Chaofeng |
| contents | In this paper, we prove the stability theorems for the isotropic perturbations of maximal isotropic subspaces in symplectic Banach spaces. Then we prove a stability theorem for the mod $2$ dimensions of kernel of skew-adjoint linear Fredholm relations between real Banach spaces with index $0$. Finally we gives the two path components of the set of skew-adjoint linear Fredholm relations between real Banach spaces with indices $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08445 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skew-adjoint linear relatioins between Banach spaces Li, Hanchen Zhu, Chaofeng Functional Analysis Primary 53D12, Secondary 58J30 In this paper, we prove the stability theorems for the isotropic perturbations of maximal isotropic subspaces in symplectic Banach spaces. Then we prove a stability theorem for the mod $2$ dimensions of kernel of skew-adjoint linear Fredholm relations between real Banach spaces with index $0$. Finally we gives the two path components of the set of skew-adjoint linear Fredholm relations between real Banach spaces with indices $0$. |
| title | Skew-adjoint linear relatioins between Banach spaces |
| topic | Functional Analysis Primary 53D12, Secondary 58J30 |
| url | https://arxiv.org/abs/2404.08445 |