Some log and weak majorization inequalities in Euclidean Jordan algebras

Jiyuan Tao, Juyoung Jeong, Muddappa Gowda

Motivated by Horn's log-majorization (singular value) inequality $s(AB)\underset{log}{\prec }s(A)\ast s(B)$ and the related weak-majorization inequality $s(AB)\underset{w}{\prec} s(A)*…