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Finite codimensional ideals in function algebras

Finite codimensional ideals in function algebras

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 …