Separation theorems for bounded convex sets of bounded operators
Operator Algebras
2024-05-29 v1
Abstract
We establish new metric characterizations for the norm (respectively, ultraweak) closure of the convex hull of a bounded set in an arbitrary -algebra (respectively, von Neumann algebra), and provide applications of these results to the majorization theory.
Cite
@article{arxiv.2405.17614,
title = {Separation theorems for bounded convex sets of bounded operators},
author = {Mikaël Pichot and Erik Séguin},
journal= {arXiv preprint arXiv:2405.17614},
year = {2024}
}