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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.16228 |
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| _version_ | 1866913244236480512 |
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| author | Yamada, Akira |
| author_facet | Yamada, Akira |
| contents | In 2012, we obtained Oppenheim's inequality for positive semidefinite matrices and its equality condition by the reproducing kernel method. In this paper, as a continuation, we give a reproducing kernel proof of the block matrix version of the Oppenheim-Schur's inequality and its equality condition in the positive definite case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16228 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Oppenheim-Schur's inequality and RKHS Yamada, Akira Functional Analysis 15A45 (Primary), 46E22 (Secondary) In 2012, we obtained Oppenheim's inequality for positive semidefinite matrices and its equality condition by the reproducing kernel method. In this paper, as a continuation, we give a reproducing kernel proof of the block matrix version of the Oppenheim-Schur's inequality and its equality condition in the positive definite case. |
| title | Oppenheim-Schur's inequality and RKHS |
| topic | Functional Analysis 15A45 (Primary), 46E22 (Secondary) |
| url | https://arxiv.org/abs/2402.16228 |