2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225197In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property. We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator.extends to non-reflexive Banach space a previous result proved in reflexive Banach spacesFunctional AnalysisAnalysis of PDEs47H05; 49J52; 47N10text