A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911084807454720 |
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| author | Ghamsari, Hooriye Sadat Jalali Dehghani, Mahdi |
| author_facet | Ghamsari, Hooriye Sadat Jalali Dehghani, Mahdi |
| contents | We introduced and study a family of generalized norm on $C^*$-algebras and the notion of Birkhoff-James orthogonality and norm-parallelism with respect to these family of generalized norms are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_23089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations Ghamsari, Hooriye Sadat Jalali Dehghani, Mahdi Operator Algebras Functional Analysis We introduced and study a family of generalized norm on $C^*$-algebras and the notion of Birkhoff-James orthogonality and norm-parallelism with respect to these family of generalized norms are investigated. |
| title | A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations |
| topic | Operator Algebras Functional Analysis |
| url | https://arxiv.org/abs/2507.23089 |