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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.12244 |
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Table of 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.