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23 April 2024

» arxiv » math/0702475

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A matrix subadditivity inequality for f(A+B) and f(A)+f(B)
Jean-Christophe Bourin ; Mitsuru Uchiyama ;
Date:	16 Feb 2007
Subject:	Functional Analysis; Operator Algebras
Abstract:	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.
Source:	arXiv, math/0702475
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