A matrix subadditivity inequality for f(A+B) and f(A)+f(B)

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Let f be a non-negative concave function on the positive half-line. Let A and B be two positive matrices. Then, for all symmetric norms, || f(A+B) || is less than || f(A)+f(B) ||. When f is operator concave, this was proved by Ando and Zhan. Our method is simpler. Several related results are presented.
accepted in LAA

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Functional Analysis, Operator Algebras, 47A30; 47A63

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http://salesiana.dossiersoluciones.com/handle/123456789/124130

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702475
 http://arxiv.org/abs/math/0702475

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arXiv