A generalization of POWERS-STØRMER inequality

Anchal Aggarwal, Mandeep Singh

Let $A,B$ be the positive semidefinite matrices. A matrix version of the famous Powers-Størmer's inequality $$2Tr(A^{\alpha }{B}^{1-\alpha })\ge Tr(A+B-|A-B|),0\le \alpha \le 1,$$ was proven b…