Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Decomposable compact convex sets and peak sets for function spaces.
HTML articles powered by AMS MathViewer

by Leonard Asimow
Proc. Amer. Math. Soc. 25 (1970), 75-79
DOI: https://doi.org/10.1090/S0002-9939-1970-0259607-8

Abstract:

Geometric conditions are known under which a closed face of a compact convex set is a peak set with respect to the space of continuous affine (real-valued) functions. The purpose of this note is to give an application of this “abstract-geometric” set-up to the problem of finding peak sets (or points) in a compact Hausdorff space with respect to a closed subspace of continuous complex-valued functions. In this fashion we obtain the strong hull criteria of Curtis and Figá-Talamanca and in particular the Bishop peak point theorem for function algebras.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.55
  • Retrieve articles in all journals with MSC: 46.55
Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 75-79
  • MSC: Primary 46.55
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259607-8
  • MathSciNet review: 0259607