Matrix versions of Young's inequality
Matrix versions of Young's inequality
A matrix majorization version of the general Young's inequality xy Φ(x) + Ψ(y) is presented.Multivariate Young's inequality is extended to the matrix setting by means of the geometric mean of positive semidefinite matrices.Also some refined Hilbert-Schmidt norm generalizations of Young's inequality are given and a symmetrized Young's inequality for unitarily …