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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2505.12059 |
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| _version_ | 1866912381029842944 |
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| author | Roy, Saikat |
| author_facet | Roy, Saikat |
| contents | We study the best approximation and distance problems in the operator space $\B(\HS)$ and in the space of trace class operators $\LS^1(\B(\HS))$. Formulations of distances are obtained in both cases. The case of finite-dimensional $C^*$-algebras is also considered. The computational advantage of the results is illustrated through examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distance and best approximations in operator norm and trace class norm Roy, Saikat Functional Analysis Primary 46B28, 46B02 Secondary 47L05 We study the best approximation and distance problems in the operator space $\B(\HS)$ and in the space of trace class operators $\LS^1(\B(\HS))$. Formulations of distances are obtained in both cases. The case of finite-dimensional $C^*$-algebras is also considered. The computational advantage of the results is illustrated through examples. |
| title | Distance and best approximations in operator norm and trace class norm |
| topic | Functional Analysis Primary 46B28, 46B02 Secondary 47L05 |
| url | https://arxiv.org/abs/2505.12059 |