Bounded extension property and 𝑝-sets

Hag, Per

doi:10.1090/S0002-9939-1980-0550503-1

Bounded extension property and $p$-sets
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Proc. Amer. Math. Soc. 78 (1980), 235-238 Request permission

Abstract:

The main result of this paper is a theorem which asserts that a closed subset of the compact Hausdorff space X is a p-set for a uniform algebra A on X if and only if $S = \{ f \in A;\operatorname {Re} f \geqslant 0\}$ has the so-called bounded extension property with respect to F. Similar results have been obtained by Bishop, Gamelin, Semadeni and the author.

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