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Homomorphisms between algebras of continuous functions. Llavona, José G. Jaramillo Aguado, Jesús Ángel 517.98 Algebra homomorphisms between algebras of continuous real functions on completely regular topological spaces Automatic continuity Composition subalgebras Algebras of weakly continuous and weakly uniformly continuous functions on bounded subsets of a Banach space Interpolating bounded sequences of a Banach space by weakly uniformly continuous functions Análisis funcional y teoría de operadores 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:57:59Z 2023-06-20T16:57:59Z 1989 journal article VoR https://hdl.handle.net/20.500.14352/57533 0008-414X 10.4153/CJM-1989-007-8 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 restricted access application/pdf Canadian Mathematical Society