Implicit Functions from Topological Vector Spaces to Banach Spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66902We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.36 pagesGeneral MathematicsDifferential GeometryFunctional Analysis58C15 (Primary) 26E15, 26E30, 46G05, 46T10, 47J07, 58C20 (Secondary)Implicit Functions from Topological Vector Spaces to Banach Spacestext