# On the dual of certain locally convex function spaces

Document Type: Research Paper

Authors

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.

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### History

• Receive Date: 15 September 2013
• Revise Date: 29 June 2014
• Accept Date: 29 June 2014