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Norm inequalities related to operator monotone functions
Abstract. Let A,B be positive semidefinite matrices and $|||\cdot|||$ any unitarily invariant norm on the space of matrices. We show $ |||f(A) + f(B)||| \geq |||f(A + B)|||$ for any non-negative
Contractive projections in Lp spaces
Matrix Young Inequalities
Let p, q > 0 satisfy 1/p + 1/q = 1. We prove that for any pair A, B of n × n complex matrices there is a unitary matrix U, depending on A, B, such that $$U*\left| {AB*} \right|U \leqslant {\left|
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