2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121532Eigenvalues inequalities involving (log) convex/concav functions and Hermitian matrices, positive unital maps are considered. Simple proofs of Bhatia-Kittaneh inequality and Naimark dilation theorem are given.submitted in LAA, special issue in honour of Roger HornOperator AlgebrasFunctional Analysis47A30; 47B15; 15A60text