- ...Given two real or complex matrices A =[ a ij ] and X =[ x ij ], the Schur product is given by A ◦ X =[ a ij x ij ]. The well-known Schur’s theorem [
**13**]s ays that ifA and X are both Hermitian and positive semidefinite, then so is A ◦ X. In this setting, the Oppenheim inequality says that,... - ...The following result generalizes Schur’s classical theorem on Schur products [
**13**]t o the setting of Euclidean Jordan algebras...