On a binary operation for positive operators
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917586813321216 |
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| author | Furuichi, Shigeru Moradi, Hamid Reza Conde, Cristian Sababheh, Mohammad |
| author_facet | Furuichi, Shigeru Moradi, Hamid Reza Conde, Cristian Sababheh, Mohammad |
| contents | M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mean. We study this operation further and present numerous properties emphasizing the relationship with the operator geometric mean. In the end, we present an application toward Tsallis relative operator entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06637 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a binary operation for positive operators Furuichi, Shigeru Moradi, Hamid Reza Conde, Cristian Sababheh, Mohammad Functional Analysis 47A63, 47A64, 47A30, 15A45 M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation enjoys some interesting properties similar to the operator geometric mean. We study this operation further and present numerous properties emphasizing the relationship with the operator geometric mean. In the end, we present an application toward Tsallis relative operator entropy. |
| title | On a binary operation for positive operators |
| topic | Functional Analysis 47A63, 47A64, 47A30, 15A45 |
| url | https://arxiv.org/abs/2402.06637 |