从Clarkson-McCarthy不等式到Ball-Carlen-Lieb不等式
泛函分析
2024-10-29 v2
摘要
本文给出Clarkson-McCarthy不等式的两个新推广，涉及多个算子，取决于由Bourin发展的单位轨道技术、Hadamard三线定理以及由Ball、Carlen和Lieb发展的对偶论证。此外，我们完成了由Ball、Carlen和Lieb在[Invent. Math. 115 (1994) 463-482]中建立的optimal 2-uniform convexity不等式。提出了一些开放问题。
引用
@article{arxiv.2410.12244,
title = {From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality},
author = {Teng Zhang},
journal= {arXiv preprint arXiv:2410.12244},
year = {2024}
}
备注
The result is not good enough.