一个在Shilov边界外有一点Gleason部分的二重生成一致代数
A doubly generated uniform algebra with a one-point Gleason part off its Shilov boundary
摘要：
证明了在${\mathbb C}^2$中存在一个紧集$X$，它具有一个非平凡的多项式壳$\widehat X$，使得$\widehat X \setminus X$中的某个点是$P(X)$的一点Gleason部分.此外，可以选择$X$，使得$P(X)$具有可逆元素的密集集。
英文摘要：
It is shown that there exists a compact set $X$ in ${\mathbb C}^2$ with a nontrivial polynomial hull $\widehat X$ such that some point of $\widehat X \setminus X$ is a one-point Gleason part for $P(X)$. Furthermore, $X$ can chosen so that $P(X)$ has a dense set of invertible elements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
