Orthogonality of bilinear forms and application to matrices
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909261766852608 |
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| author | Roy, Saikat Senapati, Tanusri Sain, Debmalya |
| author_facet | Roy, Saikat Senapati, Tanusri Sain, Debmalya |
| contents | We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonality of real bilinear forms are studied. This allows us to present an elementary proof of the well-known Bhatia-Šemrl Theorem in the real case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orthogonality of bilinear forms and application to matrices Roy, Saikat Senapati, Tanusri Sain, Debmalya Functional Analysis 46A32, 15A63 We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonality of real bilinear forms are studied. This allows us to present an elementary proof of the well-known Bhatia-Šemrl Theorem in the real case. |
| title | Orthogonality of bilinear forms and application to matrices |
| topic | Functional Analysis 46A32, 15A63 |
| url | https://arxiv.org/abs/2407.13713 |