On the dual of certain locally convex function spaces

Document Type : Research Paper


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


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.


Main Subjects