Birkhoff-James classification of finite-dimensional $C^*$-algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916493057327104 |
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| author | Kuzma, Bojan Singla, Sushil |
| author_facet | Kuzma, Bojan Singla, Sushil |
| contents | We classify real or complex finite-dimensional $C^*$-algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James orthogonality preservers is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Birkhoff-James classification of finite-dimensional $C^*$-algebras Kuzma, Bojan Singla, Sushil Operator Algebras Functional Analysis 46L05, 46B80, 46B20 We classify real or complex finite-dimensional $C^*$-algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James orthogonality preservers is also given. |
| title | Birkhoff-James classification of finite-dimensional $C^*$-algebras |
| topic | Operator Algebras Functional Analysis 46L05, 46B80, 46B20 |
| url | https://arxiv.org/abs/2411.15273 |