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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.06454 |
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| _version_ | 1866910503276642304 |
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| author | Palacios, Angel Rodriguez |
| author_facet | Palacios, Angel Rodriguez |
| contents | We prove unit-free versions of both the associative and the non-associative Vidav-Palmer theorems. Then these results are applied to prove a unit-free version of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_06454 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras Palacios, Angel Rodriguez Operator Algebras Functional Analysis AMS Classification 2022: 46L05, 46L70 We prove unit-free versions of both the associative and the non-associative Vidav-Palmer theorems. Then these results are applied to prove a unit-free version of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras. |
| title | Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras |
| topic | Operator Algebras Functional Analysis AMS Classification 2022: 46L05, 46L70 |
| url | https://arxiv.org/abs/2310.06454 |