1,474 research outputs found
Weak Sequential Completeness of Uniform Algebras
We prove that a uniform algebra is weakly sequentially complete if and only
if it is finite-dimensional
A Peak Point Theorem for Uniform Algebras on Real-Analytic Varieties
It was once conjectured that if is a uniform algebra on its maximal ideal
space , and if each point of is a peak point for , then .
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
Uniform Approximation by Holomorphic and Harmonic Functions
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135501/1/jlms0129.pd
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