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

Autor: J. F. Feinstein
Zdroj: Proceedings of the American Mathematical Society; May2004, Vol. 132 Issue 8, p2389-2397, 9p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index