An asymmetric Kadison's inequality

Details An asymmetric Kadison's inequality An asymmetric Kadison's inequality

2010-03-11

arxiv.org/abs/1003.2338v1

Mathematics

Functional Analysis

To appear in LAA

Scientific paper

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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