C*-Convexity of Norm Unit Balls
Functional Analysis
2016-04-12 v1 Operator Algebras
Abstract
We determine those norms on B(H) whose unit ball is C*-convex. We call them M-norms and show that the class of M-norms less than a given norm enjoys a maximum element. These minimum and maximum elements will be determined in some cases. Finally, we give a constructive result to obtain M-norms on B(H).
Cite
@article{arxiv.1604.02812,
title = {C*-Convexity of Norm Unit Balls},
author = {Mohsen Kian},
journal= {arXiv preprint arXiv:1604.02812},
year = {2016}
}
Comments
to appear in Journal of Mathematical Analysis and Applications