2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124750This paper presents a few additions to commutant lifting theory. An operator interpolation problem is introduced and shown to be equivalent to the relaxed commutant lifting problem. Using this connection a description of all solutions of the former problem is given. Also a new application, involving bounded operators induced by $H^2$ operator-valued functions, is presented.14 pagesFunctional AnalysisOptimization and Control47A20, 47A57; 30D55, 47B38, 47A56text