Solving the Gleason problem on linearly convex domains

Oscar Lemmers; Jan Wiegerinck

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Solving the Gleason problem on linearly convex domains

Oscar Lemmers·Jan Wiegerinck

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Abstract

Let V be a bounded, connected linearly convex set in C^n with $C^{1+ε}$-boundary. We show that the maximal ideal (both in A(V) and $H^{\infty}(V)$) consisting of all functions vanishing at p in V is generated by the coordinate functions z_1 - p_1, ..., z_n - p_n.

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Oscar Lemmers, Jan Wiegerinck. 2001-06-27. Solving the Gleason problem on linearly convex domains. https://arxiv.org/abs/math/0106235

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