Trivial Jensen measures without regularity
Volume 148 / 2001
Studia Mathematica 148 (2001), 67-74
MSC: Primary 46J10.
DOI: 10.4064/sm148-1-6
Abstract
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.
