Matrix inequalities from a two variables functional

Published 22 Nov 2015 in math.FA | (1511.06977v3)

Abstract: Several matrix/operator inequalies are given. Most of them are unexpected extensions of the Araki Log-majorization theorem, obtained thanks to a new log-majorization for positive linear maps and normal operators (Theorem 2.9). The main idea and technical tool is a two variables log-convex norm functional (Theorem 1.2).

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