2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107532Several inequalities for eigenvalues involving convex combinations and compressions are given. These inequalities are matrix version of the basic convexity inequality f((a+b)/2) < (f(a)+f(b))/2.to appear in JIPAM vol. 6Operator AlgebrasFunctional Analysis47A30text