Trivial Jensen measures without regularity

J. F. Feinstein

Studia Mathematica (2001)

  • Volume: 148, Issue: 1, page 67-74
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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J. F. Feinstein. "Trivial Jensen measures without regularity." Studia Mathematica 148.1 (2001): 67-74. <http://eudml.org/doc/284785>.

@article{J2001,
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.},
author = {J. F. Feinstein},
journal = {Studia Mathematica},
keywords = {non-regular uniform algebra; peak point; Swiss cheeses},
language = {eng},
number = {1},
pages = {67-74},
title = {Trivial Jensen measures without regularity},
url = {http://eudml.org/doc/284785},
volume = {148},
year = {2001},
}

TY - JOUR
AU - J. F. Feinstein
TI - Trivial Jensen measures without regularity
JO - Studia Mathematica
PY - 2001
VL - 148
IS - 1
SP - 67
EP - 74
AB - 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.
LA - eng
KW - non-regular uniform algebra; peak point; Swiss cheeses
UR - http://eudml.org/doc/284785
ER -

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