Resumen de Infimum - supremum

Francisco Javier Sayas González

• In this note we introduce and discuss some basic notions about the continuous and discrete infimum¿supremum (or LBB) conditions and their relation with right¿ inverses, discrete liftings and stability of numerical methods. The context will be that of Hilbert space methods in numerical analysis, with a strong operator theory flavor. In passing, we will also mention some historical milestones on the discovery and precise setting of these inequalities.