Document Type
Paper
Publication Date
12-23-2019
Abstract
In 1957, Andrew Gleason conjectured that if A is a uniform algebra on its maximal ideal space X and every point of X is a one-point Gleason part for A, then A must contain all continuous functions on X. Gleason’s conjecture was disproved by Brian Cole in 1968. In this paper, we establish a strengthened form of Gleason’s conjecture for uniform algebras generated by real-analytic functions on compact subsets of real-analytic three-dimensional manifolds-with-boundary.
DOI
DOI: 10.4064/sm190513-5-1
Recommended Citation
Ghosh, Swarup, "Isolated point theorems for uniform algebras on smooth manifolds" (2019). Faculty Articles & Research. 2.
https://dc.swosu.edu/cas_math_articles/2