May 27, 2024Open Access

Separation theorems for bounded convex sets of bounded operators

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Resumen

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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Cite This Study

Pichot et al. (Mon,) studied this question.

synapsesocial.com/papers/68e68593b6db64358760e006 https://doi.org/https://doi.org/10.48550/arxiv.2405.17614

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