2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141407We revise the notion of the quasi-sectorial contractions. Our main theorem establishes a relation between semigroups of quasi-sectorial contractions and a class of m-sectorial generators. We discuss a relevance of this kind of contractions to the theory of operator-norm approximations of strongly continuous semigroups.Functional AnalysisGeneral Mathematics47D60; 47D03; 47D06; 47B99text