A Weierstrass-Stone theorem for Choquet simplexes
نویسندگان
چکیده
منابع مشابه
The Stone-weierstrass Theorem
The really new thing about Stone’s approach to the approximation theorem was the approach via lattices of continuous functions, although Lebesgue had noticed the importance of approximating the absolute-value function earlier. There is a segment of the mathematical community formed of people who are as likely to encounter a lattice in their work as an algebra and for whom the lattice version of...
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1. Let X be a locally compact Hausdorff space, C(X)ß the locally convex topological vector space obtained from all bounded complex continuous functions on X by employing the strict topology [2]. The present note is devoted to a version of Bishop's generalized StoneWeierstrass theorem [l] applicable to certain subspaces of C(X)ß-, essentially it is a footnote to an earlier paper [4], in which a ...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1968
ISSN: 0373-0956
DOI: 10.5802/aif.283