Biblioteca de la Universidad Complutense de Madrid

Homomorphisms between algebras of continuous functions.

Impacto

Llavona, José G. y Jaramillo Aguado, Jesús Ángel (1989) Homomorphisms between algebras of continuous functions. Canadian Journal of Mathematics-Journal Canadien de Mathématiques, 41 (1). pp. 132-162. ISSN 0008-414X

URL Oficial: http://cms.math.ca/10.4153/CJM-1989-007-8




Resumen

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.


Tipo de documento:Artículo
Palabras clave: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
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16416
Depositado:18 Sep 2012 08:34
Última Modificación:06 Nov 2013 17:24

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