A connection between Schur and Dieudonné's theorems on spaces of bounded rank matrices
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909329093820416 |
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| author | Pazzis, Clément de Seguins |
| author_facet | Pazzis, Clément de Seguins |
| contents | We use a double-duality argument to give a new proof of Dieudonné's theorem on spaces of singular matrices. The argument connects the situation to the structure of spaces of operators with rank at most $1$, and works best over algebraically closed fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19631 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A connection between Schur and Dieudonné's theorems on spaces of bounded rank matrices Pazzis, Clément de Seguins Rings and Algebras 15A30, 15A03 We use a double-duality argument to give a new proof of Dieudonné's theorem on spaces of singular matrices. The argument connects the situation to the structure of spaces of operators with rank at most $1$, and works best over algebraically closed fields. |
| title | A connection between Schur and Dieudonné's theorems on spaces of bounded rank matrices |
| topic | Rings and Algebras 15A30, 15A03 |
| url | https://arxiv.org/abs/2409.19631 |