Garrido, M. IsabelGómez Gil, JavierJaramillo Aguado, Jesús Ángel2023-06-202023-06-2019940008-414X10.4153/CJM-1994-041-3https://hdl.handle.net/20.500.14352/57330Let A be an algebra of continuous real functions on a topological space X. We study when every nonzero algebra homomorphism phi:A --> R is given by evaluation at some point of X. In the case that A is the algebra of rational functions (or real-analytic functions, or C(m)-functions) on a Banach space, we provide a positive answer for a wide class of spaces, including separable spaces and super-reflexive spaces (with nonmeasurable cardinal).engjournal articlehttp://cms.math.ca/cjm/v46/http://cms.math.ca/restricted access515.1Algebra of continuous real functionsseparable spacessuper-reflexive spacesTopología1210 Topología