On a norm inequality for a positive block-matrix

Abstract

For a positive semidefinite matrix $H=\left[\begin{array}{cc}A& X\\ X^{\ast }& B\end{array}\right]$, we consider the norm inequality $||H||\le ||A+B||$. We show that this inequality holds under certain conditions. Some related topics are also investigated.

10 pages

References in corpus (2)

• Majorization criterion for distillability of a bipartite quantum state
• On Symmetric Norm Inequalities And Hermitian Block-Matrices