Trivial Jensen measures without regularity

Details Trivial Jensen measures without regularity Trivial Jensen measures without regularity

1999-12-20

arxiv.org/abs/math/9912160v2

Mathematics

Functional Analysis

6 pages plain tex

Scientific paper

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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