A Hull with No Nontrivial Gleason Parts
A Hull with No Nontrivial Gleason Parts
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没有重要格里森零件的船体
DOI：
10.1512/iumj.2018.67.7300
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Alexander J. Izzo
中科院分区：
文献类型：
--
作者：
B. Cole;Swarup N. Ghosh;Alexander J. Izzo
证明了每个点都是单点Gleason部分且没有非零有界点导子的非平凡多项式凸船体的存在性。这加强了Stolzenberg的结果，即存在一个不包含解析圆盘的非平凡多项式凸船体。最后给出了一个双重生成的反例.
The existence of a nontrivial polynomially convex hull with every point a one-point Gleason part and with no nonzero bounded point derivations is established. This strengthens the \hbox{celebrated} result of Stolzenberg that there exists a nontrivial polynomially convex hull that contains no analytic discs. A doubly generated counterexample to the peak point conjecture is also presented.