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Trivial Jensen measures without regularity

J. F. Feinstein
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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.

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J. F. Feinstein. 1999-12-20. Trivial Jensen measures without regularity. https://doi.org/10.4064/sm148-1-6

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