Trivial Jensen measures without regularity

In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point.

Bibliographic Details
Main Author: Feinstein, Joel
Format: Article
Published: 1999
Online Access:https://eprints.nottingham.ac.uk/14/