2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76238Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are given.Functional AnalysisOperator Algebras46C05, 47A12Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spacestext