2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162792In this paper we characterize EP operators through the existence of different types of factorizations. Our results extend to EP operators existing characterizations for EP matrices and give new characterizations both for EP matrices and EP operators.To appear in Linear Algebra and its ApplicationsFunctional AnalysisRings and Algebras47A05 (Primary) 15A09, 47B (Secondary)Factorizations of EP operatorstext