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A characterization of weak peak sets for function algebras

Published online by Cambridge University Press:  17 April 2009

Krzysztof Jarosz
Krzysztof Jarosz
Affiliation:
Institute of Mathematics, Warsaw University, PKiN, 00–901 Warsaw, Poland.
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Abstract

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Let A ⊂ C(S) be a function algebra. In this paper we prove that is a weak peak set for A if and only if for any open neighbourhood U of S0 there is an f in A such that ∥f∥ ≤ 2, |f(x) − l| ≤ 1/3 on S0 and |f(x)| ≤ 1/3 on S\U.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 1 , August 1984 , pp. 129 - 135
Copyright
Copyright © Australian Mathematical Society 1984

References

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