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A counterexample to a conjecture of S. E. Morris
Author(s):
J.
F.
Feinstein
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2389-2397.
MSC (2000):
Primary 46J10, 46H20
Posted:
February 20, 2004
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Abstract:
We give a counterexample to a conjecture of S. E. Morris by showing that there is a compact plane set  such that  has no nonzero, bounded point derivations but such that  is not weakly amenable. We also give an example of a separable uniform algebra  such that every maximal ideal of  has a bounded approximate identity but such that  is not weakly amenable.
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Additional Information:
J.
F.
Feinstein
Affiliation:
School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, England
Email:
Joel.Feinstein@nottingham.ac.uk
DOI:
10.1090/S0002-9939-04-07382-4
PII:
S 0002-9939(04)07382-4
Received by editor(s):
May 12, 2003
Posted:
February 20, 2004
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2004,
American Mathematical Society
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