On Schwartz Groups
Keywords: 
Materias Investigacion::Física
Issue Date: 
2007
ISSN: 
0039-3223
Citation: 
Studia Math, 181, pp. 199-210
Abstract
In this paper we introduce a notion of a Schwartz group, which turns out to be coherent with the well known concept of a Schwartz topo- logical vector space. We establish several basic properties of Schwartz groups and show that free topological Abelian groups, as well as free locally convex spaces, over a hemicompact k{space are Schwartz groups. We also prove that every hemicompact k{space topological group, in particular the Pontryagin dual of a metrizable topological group, is a Schwartz group.

Files in This Item:
File: 
2007.onSchwartz.pdf
Description: 
Size: 
181,39 kB
Format: 
Adobe PDF


Items in Dadun are protected by copyright, with all rights reserved, unless otherwise indicated.