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Russia Yekaterinburg
Section  Mathematics 
Title  The dual of $C_{rc}(X)$ 
Author(s)  Osipov A.V.^{a} 
Affiliations  Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences^{a} 
Abstract  This is a study of the dual space of continuous linear functionals on the function space $C_{rc}(X)$. Here $rc$ denotes the $C$compactopen topology on $C(X)$, the set of all realvalued continuous functions on a Tychonoff space $X$. Since this dual space is inherently related to a space of measures, the measuretheoretic characterization of this dual space has been studied extensively. The separability of this dual space has been studied. 
Keywords  сontinuous linear functional, function space, Ccompact subset, Ccompactopen topology, measure, zero set, separability 
UDC  517.982.272, 515.122.55 
MSC  54C40, 54C35, 54D60 
DOI  10.20537/vm120105 
Received  14 January 2012 
Language  Russian 
Citation  Osipov A.V. The dual of $C_{rc}(X)$, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 1, pp. 4149. 
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