Trivial Jensen measures without regularity
Studia Mathematica, Tome 148 (2001) no. 1, pp. 67-74

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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.
DOI : 10.4064/sm148-1-6
Keywords: note construct swiss cheeses non regular has non trivial jensen measures construct non regular uniform algebra compact metrizable character space every point character space peak point

J. F. Feinstein 1

1 School of Mathematical Sciences University of Nottingham Nottingham, NG7 2RD U.K.
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J. F. Feinstein. Trivial Jensen measures without regularity. Studia Mathematica, Tome 148 (2001) no. 1, pp. 67-74. doi: 10.4064/sm148-1-6

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