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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Restrictions of convex subsets of $ C(X)$


Author: Per Hag
Journal: Trans. Amer. Math. Soc. 233 (1977), 283-294
MSC: Primary 46E10
MathSciNet review: 0467264
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Abstract: The main result of this paper is a theorem giving a measure-theoretic condition which is necessary and sufficient for a closed convex subset S of $ C(X)$ to have the so-called bounded extension property with respect to a closed subset F of X. This theorem generalizes well-known results on closed subspaces by Bishop, Gamelin and Semadeni.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1977-0467264-1
PII: S 0002-9947(1977)0467264-1
Article copyright: © Copyright 1977 American Mathematical Society