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arXiv · 1003.2338

An asymmetric Kadison's inequality

Jean-Christophe Bourin·Éric Ricard
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Abstract

Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation.

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Jean-Christophe Bourin, Éric Ricard. 2010-03-11. An asymmetric Kadison's inequality. https://arxiv.org/abs/1003.2338

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