GROUPS OF CONTINUOUS FUNCTIONSAuthor:
RODENAS CAMACHO ANA MARIA.
Year:
2005.
University:
JAUME I DE CASTELLON [
www.uji.es].
Place of defense: ESCUELA SUPERIOR DE TECNOLOGÍA Y CIENCIAS EXPERIMENTALES.
Place of preparation: ESCOLA SUPERIOR DE TECNOLOGIA Y CIENCIAS EXPERIMENTALES.
Summary: This memory is part of the study of the relationship between two topological spaces topological Hausdorff that can be derived from algebraic linkages, topological or otherwise between the corresponding groups of continuous functions evaluated in a topological group, in line with classic theorem Banach-Stone. We pay special attention to the representation of applications between groups of continuous functions of a topological space Ó, the circumference of the plane unit complex, as well as between groups of continuous functions of a group topological Ó in the same group, and then approach the problem from the standpoint of the C *- algebras group. With the same purpose, we study certain homomorfismos between groups of continuous functions evaluated in a group topological Gy given results of automatic continuity. At work, using techniques double Pontryagin, groups topological and functional analysis to carry out these objectives.
