Geodesic
Embedding a topological group into its WAP-compactification
Stefano Ferri 1   ; Jorge Galindo 2
1 Departamento de Matemáticas Universidad de los Andes Carrera 1.a 19 A 10 Apartado Aéreo 4976 Bogotá D.C., Colombia
2 Instituto de Matemáticas y Aplicaciones de Castellón (IMAC) Departamento de Matemáticas Universidad Jaume I E-12071 Castellón, Spain
Studia Mathematica, Tome 193 (2009) no. 2, pp. 99-108 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that the topology of the additive group of the Banach space $c_0$ is not induced by weakly almost periodic functions or, what is the same, that this group cannot be represented as a group of isometries of a reflexive Banach space. We show, in contrast, that additive groups of Schwartz locally convex spaces are always representable as groups of isometries on some reflexive Banach space.
DOI : 10.4064/sm193-2-1
Keywords: prove topology additive group banach space induced weakly almost periodic functions what group cannot represented group isometries reflexive banach space contrast additive groups schwartz locally convex spaces always representable groups isometries reflexive banach space

Stefano Ferri  1   ; Jorge Galindo  2

1 Departamento de Matemáticas Universidad de los Andes Carrera 1.a 19 A 10 Apartado Aéreo 4976 Bogotá D.C., Colombia
2 Instituto de Matemáticas y Aplicaciones de Castellón (IMAC) Departamento de Matemáticas Universidad Jaume I E-12071 Castellón, Spain 
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Stefano Ferri; Jorge Galindo. Embedding a topological group into its
 WAP-compactification. Studia Mathematica, Tome 193 (2009) no. 2, pp. 99-108. doi: 10.4064/sm193-2-1

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