Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^*$-algebra
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915146948935680 |
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| author | Kuzma, Bojan Stefanović, Srdjan |
| author_facet | Kuzma, Bojan Stefanović, Srdjan |
| contents | We classify bijective maps which strongly preserve Birkhoff-James orthogonality on a finite-dimensional complex $C^*$-algebra. It is shown that those maps are close to being real-linear isometries whose structure is also determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07913 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^*$-algebra Kuzma, Bojan Stefanović, Srdjan Operator Algebras Functional Analysis We classify bijective maps which strongly preserve Birkhoff-James orthogonality on a finite-dimensional complex $C^*$-algebra. It is shown that those maps are close to being real-linear isometries whose structure is also determined. |
| title | Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^*$-algebra |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2502.07913 |