On the dual of certain locally convex function spaces

Maghsoudi, S.; Rejali, A.

On the dual of certain locally convex function spaces

Document Type : Research Paper

Authors

S. Maghsoudi ¹
A. Rejali ²

¹ Department of‎ ‎Mathematics‎, ‎University‎ ‎of Zanjan‎, ‎P.O‎. ‎Box 45371-38791‎, ‎Zanjan‎, ‎Iran

² Department of‎ ‎Mathematics‎, ‎University‎ ‎of Isfahan‎, ‎P.O‎. ‎Box 81746-73441‎, ‎Isfahan‎, ‎Iran

Abstract

In this paper, we first introduce some function spaces, with certain locally convex topologies, closely related to the space of real-valued continuous functions on $X$, where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.

Keywords