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

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Restricted centers in $C(\Omega )$
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by Philip W. Smith and J. D. Ward PDF
Proc. Amer. Math. Soc. 48 (1975), 165-172 Request permission

Abstract:

The concept of restricted center is a natural generalization of the notion of Chebyshev center. We prove a necessary and sufficient condition for a bounded subset $A$ of $C(\Omega ),\Omega$ paracompact, to have a restricted center with respect to $B$, another subset of $C(\Omega )$. This theorem is then applied to subspaces of finite codimension in $C(I),I$ a compact interval.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 165-172
  • MSC: Primary 41A65
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0380227-3
  • MathSciNet review: 0380227