On the Ando-Hiai property for spectral geometric means
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911341390856192 |
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| author | Seo, Yuki Wada, Shuhei Yamazaki, Takeaki |
| author_facet | Seo, Yuki Wada, Shuhei Yamazaki, Takeaki |
| contents | In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover, it satisfies the Ando-Hiai type inequality under some restricted conditions. As an application, we show the log-majorization relations and norm inequalities for the spectral geometric means of positive definite matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Ando-Hiai property for spectral geometric means Seo, Yuki Wada, Shuhei Yamazaki, Takeaki Functional Analysis 47A63, 47A64 In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover, it satisfies the Ando-Hiai type inequality under some restricted conditions. As an application, we show the log-majorization relations and norm inequalities for the spectral geometric means of positive definite matrices. |
| title | On the Ando-Hiai property for spectral geometric means |
| topic | Functional Analysis 47A63, 47A64 |
| url | https://arxiv.org/abs/2512.22807 |