From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality
Functional Analysis
2024-10-29 v2
Abstract
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.
Keywords
Cite
@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}
}
Comments
The result is not good enough.