A matrix inequality for positive double John decomposition
Linzh ng Lu, Lei Hou · Mathematical Inequalities & Applications · 2018
established the reversed Brascamp-Lieb inequality and its geometric version. The matrix inequality for John decomposition played a key role in the proof of the geometric Brascamp-Lieb inequality (see also Ball [1]). In this paper, we propose a new matrix inequality based on the so called "double John decomposition", which is a generalization of the results of Ball and Barthe.