A note on a construction of J.F. Feinstein
Abstract
In \cite{F} J.F. Feinstein constructed a compact plane set $X$ such that $R(X)$ has no non-zero, bounded point derivations but is not weakly amenable. In the same paper he gave an example of a separable uniform algebra $A$ such that every point in the character space of $A$ is a peak point but $ A$ is not weakly amenable. We show that it is possible to modify the construction in order to produce examples which are also regular.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2004
- DOI:
- 10.48550/arXiv.math/0407533
- arXiv:
- arXiv:math/0407533
- Bibcode:
- 2004math......7533H
- Keywords:
-
- Functional Analysis;
- 46J10 (primary);
- 46H20 (secondary)
- E-Print:
- 12 pages LaTeX