On approximate preservation of orthogonality and its application to isometries
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909460620902400 |
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| author | Mandal, Kalidas Manna, Jayanta Paul, Kallol Sain, Debmalya |
| author_facet | Mandal, Kalidas Manna, Jayanta Paul, Kallol Sain, Debmalya |
| contents | Motivated by the famous Blanco-Koldobsky-Turnšek characterization of isometries, we study the \textit{approximate preservation of Birkhoff-James orthogonality by a linear operator between Banach spaces}. In particular, we investigate various geometric and analytic properties related to such preservation on finite-dimensional polyhedral Banach spaces. As an application of the results obtained here, we present refinements of the Blanco-Koldobsky-Turnšek characterization of isometries on certain Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10719 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On approximate preservation of orthogonality and its application to isometries Mandal, Kalidas Manna, Jayanta Paul, Kallol Sain, Debmalya Functional Analysis 46B20, 46B04 Motivated by the famous Blanco-Koldobsky-Turnšek characterization of isometries, we study the \textit{approximate preservation of Birkhoff-James orthogonality by a linear operator between Banach spaces}. In particular, we investigate various geometric and analytic properties related to such preservation on finite-dimensional polyhedral Banach spaces. As an application of the results obtained here, we present refinements of the Blanco-Koldobsky-Turnšek characterization of isometries on certain Banach spaces. |
| title | On approximate preservation of orthogonality and its application to isometries |
| topic | Functional Analysis 46B20, 46B04 |
| url | https://arxiv.org/abs/2501.10719 |