# Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

## Embedding a topological group into its WAP-compactification

### Tom 193 / 2009

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

#### Streszczenie

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.

#### Autorzy

• Stefano FerriDepartamento de Matemáticas
Universidad de los Andes
Carrera 1.a 19 A 10
Bogotá D.C., Colombia
e-mail
• Jorge GalindoInstituto de Matemáticas y Aplicaciones
de Castellón (IMAC)
Departamento de Matemáticas