Separation theorems for bounded convex sets of bounded operators

Mikaël Pichot; Erik Séguin

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arXiv · 2405.17614

Separation theorems for bounded convex sets of bounded operators

Mikaël Pichot·Erik Séguin

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Abstract

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.

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Mikaël Pichot, Erik Séguin. 2024-05-27. Separation theorems for bounded convex sets of bounded operators. https://arxiv.org/abs/2405.17614

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