Separation theorems for bounded convex sets of bounded operators

Fuente: arXiv
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Autori principali: Pichot, Mikaël, Séguin, Erik
Natura: Preprint
Pubblicazione: 2024
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author Pichot, Mikaël
Séguin, Erik
author_facet Pichot, Mikaël
Séguin, Erik
contents We establish new metric characterizations for the norm (respectively, ultraweak) closure of the convex hull of a bounded set in an arbitrary $C^*$-algebra (respectively, von Neumann algebra), and provide applications of these results to the majorization theory.
format Preprint
id arxiv_https___arxiv_org_abs_2405_17614
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Separation theorems for bounded convex sets of bounded operators
Pichot, Mikaël
Séguin, Erik
Operator Algebras
We establish new metric characterizations for the norm (respectively, ultraweak) closure of the convex hull of a bounded set in an arbitrary $C^*$-algebra (respectively, von Neumann algebra), and provide applications of these results to the majorization theory.
title Separation theorems for bounded convex sets of bounded operators
topic Operator Algebras
url https://arxiv.org/abs/2405.17614