Embedding a topological group into its WAP-compactification

• Autorzy: Stefano Ferri , Jorge Galindo
• Języki publikacji: EN

Abstrakty

EN

We prove that the topology of the additive group of the Banach space c₀ 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.

Kategorie tematyczne

• 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions
• 46B20: Geometry and structure of normed linear spaces
• 22A10: Analysis on general topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 193
• Numer: 2
• Strony: 99-108

Daty

wydano

2009

Twórcy

autor

Stefano Ferri

• Departamento de Matemáticas, Universidad de los Andes, Carrera 1.a 19 A 10, Apartado Aéreo 4976, Bogotá D.C., Colombia

autor

Jorge Galindo

• Instituto de Matemáticas y Aplicaciones, de Castellón (IMAC), Departamento de Matemáticas, Universidad Jaume I, E-12071 Castellón, Spain

Identyfikatory

DOI

10.4064/sm193-2-1