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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bounded extension property and $p$-sets
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by Per Hag PDF
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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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 235-238
  • MSC: Primary 46J10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0550503-1
  • MathSciNet review: 550503