On Symmetric Norm Inequalities And Hermitian Block-Matrices (1512.03702v1)

Published 23 Nov 2015 in math.RA, math.FA, and math.OA

Abstract: The main purpose of this paper is to englobe some new and known types of Hermitian block-matrices $M=\begin{pmatrix} A & X\ {X^*} & B\end{pmatrix}$ satisfying or not the inequality $|M|\le |A+B|$ for all symmetric norms