A counterexample to a conjecture of S.E. Morris
Functional Analysis
2007-05-23 v1
Abstract
We give a counterexample to a conjecture of S.E. Morris by showing that there is a compact plane set X such that R(X) has no non-zero, bounded point derivations but such that R(X) is not weakly amenable. We also give an example of a separable uniform algebra A such that every maximal ideal of A has a bounded approximate identity but such that A is not weakly amenable.
Keywords
Cite
@article{arxiv.math/0310179,
title = {A counterexample to a conjecture of S.E. Morris},
author = {J. F. Feinstein},
journal= {arXiv preprint arXiv:math/0310179},
year = {2007}
}
Comments
12 pages LaTeX. To appear in Proc. A.M.S