A counterexample to a conjecture of S.E. Morris

Details A counterexample to a conjecture of S.E. Morris A counterexample to a conjecture of S.E. Morris

2003-10-13

arxiv.org/abs/math/0310179v1

Mathematics

Functional Analysis

12 pages LaTeX. To appear in Proc. A.M.S

Scientific paper

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.

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