Norm bounds for Hadamard products and an arithmetic - geometric mean inequality for unitarily invariant norms Original Research Article

An arithmetic-geometric mean inequality for unitarily invariant norms and matrices, image2short parallelA*XBshort parallelless-than-or-equals, slantshort parallelAA*X+XBB*short parallel, is an immediate consequence of a basic inequality for singular values of Hadamard products.