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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.05795 |
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| _version_ | 1866910584653479936 |
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| author | Huang, Shaowu Mishra, Hemant K. |
| author_facet | Huang, Shaowu Mishra, Hemant K. |
| contents | Symplectic eigenvalues are known to satisfy analogs of several classic eigenvalue inequalities. Of these is a set of weak supermajorization relations concerning symplectic eigenvalues that are weaker analogs of some majorization relations corresponding to eigenvalues. The aim of this letter is to establish necessary and sufficient conditions for the saturation of the symplectic weak supermajorization relations by majorization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Majorization in some symplectic weak supermajorizations Huang, Shaowu Mishra, Hemant K. Functional Analysis Mathematical Physics Symplectic Geometry Spectral Theory Quantum Physics 15B48, 15A18 Symplectic eigenvalues are known to satisfy analogs of several classic eigenvalue inequalities. Of these is a set of weak supermajorization relations concerning symplectic eigenvalues that are weaker analogs of some majorization relations corresponding to eigenvalues. The aim of this letter is to establish necessary and sufficient conditions for the saturation of the symplectic weak supermajorization relations by majorization. |
| title | Majorization in some symplectic weak supermajorizations |
| topic | Functional Analysis Mathematical Physics Symplectic Geometry Spectral Theory Quantum Physics 15B48, 15A18 |
| url | https://arxiv.org/abs/2404.05795 |