Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911780580622336 |
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| author | Dolinar, Gregor Ilišević, Dijana Kuzma, Bojan Marovt, Janko |
| author_facet | Dolinar, Gregor Ilišević, Dijana Kuzma, Bojan Marovt, Janko |
| contents | Let $H_{n}^{+}(\mathbb{R})$ be the cone of all positive semidefinite $n\times n$ real matrices. We describe the form of all surjective maps on $H_{n}^{+}(\mathbb{R}) $, $n\geq 3$, that preserve the minus partial order in both directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13083 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order Dolinar, Gregor Ilišević, Dijana Kuzma, Bojan Marovt, Janko Functional Analysis Let $H_{n}^{+}(\mathbb{R})$ be the cone of all positive semidefinite $n\times n$ real matrices. We describe the form of all surjective maps on $H_{n}^{+}(\mathbb{R}) $, $n\geq 3$, that preserve the minus partial order in both directions. |
| title | Bi-monotone maps on the set of all variance-covariance matrices with respect to minus partial order |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.13083 |