Embedding a topological group into its WAP-compactification

Tom 193 / 2009

Stefano Ferri, Jorge Galindo Studia Mathematica 193 (2009), 99-108 MSC: 43A60, 22A10, 46B20. DOI: 10.4064/sm193-2-1


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.


  • Stefano FerriDepartamento de Matemáticas
    Universidad de los Andes
    Carrera 1.a 19 A 10
    Apartado Aéreo 4976
    Bogotá D.C., Colombia
  • Jorge GalindoInstituto de Matemáticas y Aplicaciones
    de Castellón (IMAC)
    Departamento de Matemáticas
    Universidad Jaume I
    E-12071 Castellón, Spain

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