2003/10/13 by J. F. Feinstein, Feinstein, J. F.
Mathematics · #46H20 #46J10 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46H20 #msc:46J10
paper · pdf · doi:10.48550/arxiv.math/0310179
12 pages LaTeX. To appear in Proc. A.M.S
arxiv created 2003/10/13 · arxiv updated 2009/12/01
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.