Gamboa Mutuberria, José Manuel2023-06-212023-06-2119870022-404910.1016/0022-4049(87)90070-3https://hdl.handle.net/20.500.14352/64633A one page proof (using the real spectrum) of the following result: Let f, g : X ! R be a continuous functions on a topological space X, such that f is strictly positive on g−1(0). Then there exist continuous functions u, v and w such that (1 + v2)f = 1 + w2 + gu.A Positivstellensatz For Rings Of Continuous-Functionsjournal articlehttp://www.sciencedirect.com/science/journal/00224049http://www.sciencedirect.commetadata only access512.7Geometria algebraica1201.01 Geometría Algebraica