M-seminorms on spaces of continuous functions |
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Authors: | I. H. A. W. Claus D. Dondergoor A. C. M. van Rooij |
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Affiliation: | Afdeling Wiskunde, Katholieke Universiteit Nijmegen, P.O. Box 9010, 6500 GL Nijmegen, the Netherlands |
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Abstract: | Let U be a realcompact completely regular Hausdorff space, C(U) the vector lattice of all continuous functions on U. We consider representations of M-seminorms on C(U) and some subspaces) by semicontinuous functions on U. |
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