E. Lieb convexity inequalities and noncommutative Bernstein inequality in Jordan-algebraic setting

Published: 2014/08/14, Updated: 2022/05/13

Generalized Convexity/Monoticity, Other Topics euclidean jordan algebras, generalized convexity, quantum entropy Short URL: https://optimization-online.org/?p=13007

We describe a Jordan-algebraic version of E. Lieb convexity inequalities. A joint convexity of Jordan-algebraic version of quantum entropy is proven. SA spectral theory on semi-simple complex Jordan algebras is used as atool to prove the convexity results. Possible applications to optimization and statistics are indicated

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Preprint, University of Notre Dame, August 2014

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