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Article Dans Une Revue Linear Algebra and its Applications Année : 2010

An asymmetric Kadison's inequality

Résumé

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.

Dates et versions

hal-00475220 , version 1 (21-04-2010)

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Jean-Christophe Bourin, Éric Ricard. An asymmetric Kadison's inequality. Linear Algebra and its Applications, 2010, ⟨10.1016/j.laa.2010.03.015⟩. ⟨hal-00475220⟩
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