Geodesic
The dual of $C_{rc}(X)$
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2012), pp. 41-49

Voir la notice de l'article provenant de la source Math-Net.Ru

This is a study of the dual space of continuous linear functionals on the function space $C_{rc}(X)$. Here $rc$ denotes the $C$-compact-open topology on $C(X)$, the set of all real-valued continuous functions on a Tychonoff space $X$. Since this dual space is inherently related to a space of measures, the measure-theoretic characterization of this dual space has been studied extensively. The separability of this dual space has been studied.
Keywords: сontinuous linear functional, function space, $C$-compact subset, $C$-compact-open topology, measure, zero set, separability. 
@article{VUU_2012_1_a4,
     author = {A. V. Osipov},
     title = {The dual of $C_{rc}(X)$},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {41--49},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2012_1_a4/}
}
TY  - JOUR
AU  - A. V. Osipov
TI  - The dual of $C_{rc}(X)$
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2012
SP  - 41
EP  - 49
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VUU_2012_1_a4/
LA  - ru
ID  - VUU_2012_1_a4
ER  - 
%0 Journal Article
%A A. V. Osipov
%T The dual of $C_{rc}(X)$
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2012
%P 41-49
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VUU_2012_1_a4/
%G ru
%F VUU_2012_1_a4
A. V. Osipov. The dual of $C_{rc}(X)$. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2012), pp. 41-49. http://geodesic.mathdoc.fr/item/VUU_2012_1_a4/