A note on a construction of J. F. Feinstein

• Autorzy: M. J. Heath
• Języki publikacji: EN

Abstrakty

EN

In [6] J. F. Feinstein constructed a compact plane set X such that R(X), the uniform closure of the algebra of rational functions with poles off 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.

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 1
• Strony: 63-70

Daty

wydano

2005

Twórcy

autor

M. J. Heath

• School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, England

Identyfikatory

DOI

10.4064/sm169-1-4