2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136091In this article we extend the notion of quasi-nilpotent equivalent operators, introduced by Colojoara and Foias \cite{co1} for Banach spaces, to the class of bounded operators on sequentially complete locally convex spaces.Functional Analysis47B40, 47B99text