Trivial Jensen measures without regularity

Tom 148 / 2001

J. F. Feinstein Studia Mathematica 148(2001), 67-74 MSC: Primary 46J10. DOI: 10.4064/sm148-1-6


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.


  • J. F. FeinsteinSchool of Mathematical Sciences
    University of Nottingham
    Nottingham, NG7 2RD

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