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

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

2007-02-16

arxiv.org/abs/math/0702475v1

Mathematics

Functional Analysis

accepted in LAA

Scientific paper

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.

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