A CHARACTERIZATION OF PONTRYAGIN-VAN KAMPEN DUALITY FOR COMPLEX LOCALLY CONVEX SPACES

ABSTRACT

Topological vector spaces (TVS) are topological Abelian groups when considered under the operation of addition. It is therefore natural to ask when they satisfy Pontryagin-van Kampen (P-vK) duality. A number of attempts have been considered for real LCS. In particular, in a previous paper we showed a characterization of (P-vK) duality for real LCS. In this article we show that this characterization also holds for complex spaces.

Acknowledgment

We are grateful to Dikran Dikranjan for having asked us the question that gave place to this article. We are also thankful to the referee for a careful report.