From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929561033244672 |
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| author | Zhang, Teng |
| author_facet | Zhang, Teng |
| contents | In this paper, we give two new generalizations of Clarkson-McCarthy with several operators, which depends on the unitary orbit technique developed by Bourin, Hadamard Three-lines Theorem and the duality argument developed by Ball, Carlen and Lieb. Moreover, we complete the optimal 2-uniform convexity inequality established by Ball, Carlen and Lieb in [Invent. Math. 115 (1994) 463-482.]. Some open problems are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality Zhang, Teng Functional Analysis In this paper, we give two new generalizations of Clarkson-McCarthy with several operators, which depends on the unitary orbit technique developed by Bourin, Hadamard Three-lines Theorem and the duality argument developed by Ball, Carlen and Lieb. Moreover, we complete the optimal 2-uniform convexity inequality established by Ball, Carlen and Lieb in [Invent. Math. 115 (1994) 463-482.]. Some open problems are presented. |
| title | From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.12244 |