Automatic continuity of biorthogonality preservers between compact C$^*$-algebras and von Neumann algebras
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910316028231680 |
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| author | Burgos, Mar\' ia Garcés, Jorge J. Peralta, Antonio M. |
| author_facet | Burgos, Mar\' ia Garcés, Jorge J. Peralta, Antonio M. |
| contents | We prove that every biorthogonality preserving linear surjection between two dual or compact C$^*$-algebras or between two von Neumann algebras is automatically continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automatic continuity of biorthogonality preservers between compact C$^*$-algebras and von Neumann algebras Burgos, Mar\' ia Garcés, Jorge J. Peralta, Antonio M. Operator Algebras Functional Analysis We prove that every biorthogonality preserving linear surjection between two dual or compact C$^*$-algebras or between two von Neumann algebras is automatically continuous. |
| title | Automatic continuity of biorthogonality preservers between compact C$^*$-algebras and von Neumann algebras |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2402.00914 |