2026-06-08T03:25:04Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/585472025-12-09T11:26:50Zcom_20.500.14352_14col_20.500.14352_15

Homomorphisms on some function algebras Garrido Carballo, María Isabel Gómez Gil, Javier Jaramillo Aguado, Jesús Ángel 517.986.225 Análisis funcional y teoría de operadores For an algebra A of continuous real-valued functions on a topological space X, the question of whether every algebra homomorphism is a point evaluation for a point in X is considered. A variety of results are provided, such as the following. Let X be completely regular and A⊂C(X) a subalgebra with unit which is closed under bounded inversion and separates points and closed sets. Then every homomorphism is a point evaluation for a point in X if and only if, for each point z in the Stone-Čech compactification of X and not in X, there exists a function in A whose extension to z is infinite. Examples are considered and further results for the case of functions on a Banach space are discussed Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T18:45:56Z 2023-06-20T18:45:56Z 1992 journal article https://hdl.handle.net/20.500.14352/58547 0213-8743 eng open access application/pdf Universidad de Extremadura, Departamento de Matemáticas