No CrossRef data available.
Article contents
A characterization of weak peak sets for function algebras
Published online by Cambridge University Press: 17 April 2009
Abstract
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
- Copyright
- Copyright © Australian Mathematical Society 1984