A counterexample to a conjecture of S. E. Morris
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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 $X$ such that $R(X)$ has no nonzero, 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.References
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Additional Information
- J. F. Feinstein
- Affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, England
- MR Author ID: 288617
- Email: Joel.Feinstein@nottingham.ac.uk
- Received by editor(s): May 12, 2003
- Published electronically: February 20, 2004
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2389-2397
- MSC (2000): Primary 46J10, 46H20
- DOI: https://doi.org/10.1090/S0002-9939-04-07382-4
- MathSciNet review: 2052417