A peak point theorem for uniform algebras on real-analytic varieties

作者：Anderson John T; Izzo Alexander J^*

来源：Mathematische Annalen, 2016, 364(1-2): 657-665.

DOI：10.1007/s00208-015-1224-x

It was once conjectured that if A is a uniform algebra on its maximal ideal space X, and if each point of X is a peak point for A, then A = C(X). This peak-point conjecture was disproved by Brian Cole in 1968. Here we establish a peak-point theorem for uniform algebras generated by real-analytic functions on real-analytic varieties, generalizing previous results of the authors and John Wermer.

• 出版日期2016-2