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arxiv: 1003.2338 · v1 · submitted 2010-03-11 · 🧮 math.FA

An asymmetric Kadison's inequality

classification 🧮 math.FA
keywords inequalityasymmetrickadisonmatrixalgebrasaroundchebyshevcomplex
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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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