2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170340The main focus of this paper is to study multi-valued linear monotone operators in the contexts of locally convex spaces via the use of their Fitzpatrick and Penot functions. Notions such as maximal monotonicity, uniqueness, negative-infimum, and (dual-) representability are studied and criteria are provided.Functional AnalysisOptimization and Control47H05Linear Monotone Subspaces of Locally Convex Spacestext