中文

具有位于Shilov边界外单点Gleason部分的双生成一致代数

复变函数 2019-02-26 v1 泛函分析

摘要

证明了在C2{\mathbb C}^2中存在一个紧集XX,其具有非平凡多项式凸包X^\widehat X,使得X^X\widehat X \setminus X中的某点是P(X)P(X)的一个单点Gleason部分。此外,XX可被选取使得P(X)P(X)具有稠密的可逆元素集合。

关键词

引用

@article{arxiv.1902.09050,
  title  = {A doubly generated uniform algebra with a one-point Gleason part off its Shilov boundary},
  author = {Alexander J. Izzo},
  journal= {arXiv preprint arXiv:1902.09050},
  year   = {2019}
}

备注

The results of this paper are in a draft of the author's paper arXiv:1801.02252 but have been removed from the latest draft of that paper and given in this new paper at the suggestion of a referee