2026-06-08T04:02:58Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/575332025-04-09T23:45:49Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Llavona, José G. author Jaramillo Aguado, Jesús Ángel author 1989 We begin this paper with a general study of algebra homomorphisms between algebras of continuous real functions on completely regular topological spaces; we study their automatic continuity and we characterize them as induced by continuous maps; then we give conditions on the inducing maps for the corresponding composition subalgebras to be dense or closed. These general results apply to the case of algebras of weakly continuous and weakly uniformly continuous functions on bounded subsets of a Banach space. We also study, as an application, the problem of interpolating bounded sequences of a Banach space by weakly uniformly continuous functions. Llavona JG, Jaramillo JA. Homomorphisms Between Algebras of Continuous Functions. Canadian Journal of Mathematics. 1989;41(1):132-162. doi:10.4153/CJM-1989-007-8 0008-414X 10.4153/CJM-1989-007-8 https://hdl.handle.net/20.500.14352/57533 https://doi.org/10.4153/CJM-1989-007-8 http://cms.math.ca/cjm/ Homomorphisms between algebras of continuous functions.