On the Nuclearity of Dual Groups
Functional Analysis
2012-09-19 v1
Abstract
We prove that the dual space of a locally convex nuclear vector space endowed with the compact--open topology is a locally convex nuclear vector space. An analogous result is shown for nuclear groups. As a consequence of this, we obtain that nuclear --groups are strongly reflexive.
Keywords
Cite
@article{arxiv.1209.3993,
title = {On the Nuclearity of Dual Groups},
author = {Lydia Aussenhofer},
journal= {arXiv preprint arXiv:1209.3993},
year = {2012}
}