Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915994841120768 |
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| author | Kuzma, Bojan Stefanović, Srdjan |
| author_facet | Kuzma, Bojan Stefanović, Srdjan |
| contents | We describe additive surjections on direct sum of matrix algebras that preserve singularity in one direction. As an application, we classify additive surjections on finite-dimensional $C^\ast$-algebras that preserve mutual strong Birkhoff-James orthogonality in one direction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08096 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras Kuzma, Bojan Stefanović, Srdjan Rings and Algebras Functional Analysis Operator Algebras Primary: 46L05, 47B49, Secondary: 47A30, 15A04 We describe additive surjections on direct sum of matrix algebras that preserve singularity in one direction. As an application, we classify additive surjections on finite-dimensional $C^\ast$-algebras that preserve mutual strong Birkhoff-James orthogonality in one direction. |
| title | Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras |
| topic | Rings and Algebras Functional Analysis Operator Algebras Primary: 46L05, 47B49, Secondary: 47A30, 15A04 |
| url | https://arxiv.org/abs/2605.08096 |