A solution to Banach conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911568202039296 |
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| author | Zhang, Ning |
| author_facet | Zhang, Ning |
| contents | In this paper, we begin by constructing global linear maps on (n-2)-dimensional subspaces, derived from the local continuity of linear transformations among central sections of a convex body. Using these linear maps, we subsequently establish a full proof of Banach's isometric subspace problem in finite-dimensional spaces, extending Gromov's earlier results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04628 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A solution to Banach conjecture Zhang, Ning Functional Analysis Metric Geometry 52A20, 52A22 In this paper, we begin by constructing global linear maps on (n-2)-dimensional subspaces, derived from the local continuity of linear transformations among central sections of a convex body. Using these linear maps, we subsequently establish a full proof of Banach's isometric subspace problem in finite-dimensional spaces, extending Gromov's earlier results. |
| title | A solution to Banach conjecture |
| topic | Functional Analysis Metric Geometry 52A20, 52A22 |
| url | https://arxiv.org/abs/2512.04628 |