2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167283In this paper we present necessary and sufficient conditions for the existence of a unique solution to the relaxed commutant lifting problem. The obtained conditions are more complicated than those for the classical commutant lifting setting, and earlier obtained sufficient conditions turn out not to be necessary conditions. It is also shown that these conditions simplify in certain special cases.10 pagesFunctional Analysis47A20, 47A56, 47A57text