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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Finite codimensional ideals in function algebras


Author: Krzysztof Jarosz
Journal: Trans. Amer. Math. Soc. 287 (1985), 779-785
MSC: Primary 46J10
MathSciNet review: 768740
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Abstract: Assume $ S$ is a compact, metric space and let $ M$ be a finite codimensional closed subspace of a complex space $ C(S)$. In this paper we prove that if each element from $ M$ has at least $ k$ zeros in $ S$, then for some $ {s_1}, \ldots ,{s_k} \in S,M \subseteq \{ f \in C(S):f({s_1}) = \cdots = f({s_k}) = 0\} $.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0768740-9
PII: S 0002-9947(1985)0768740-9
Article copyright: © Copyright 1985 American Mathematical Society