Exposed points in the set of representing measures for the disc algebra

Alexander J. Izzo

Annales Polonici Mathematici (1995)

  • Volume: 61, Issue: 1, page 59-62
  • ISSN: 0066-2216

Abstract

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It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.

How to cite

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Alexander J. Izzo. "Exposed points in the set of representing measures for the disc algebra." Annales Polonici Mathematici 61.1 (1995): 59-62. <http://eudml.org/doc/262317>.

@article{AlexanderJ1995,
abstract = {It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ \{x\} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.},
author = {Alexander J. Izzo},
journal = {Annales Polonici Mathematici},
keywords = {disc algebra; exposed point; representing measure; weak-exposed point; representing measures},
language = {eng},
number = {1},
pages = {59-62},
title = {Exposed points in the set of representing measures for the disc algebra},
url = {http://eudml.org/doc/262317},
volume = {61},
year = {1995},
}

TY - JOUR
AU - Alexander J. Izzo
TI - Exposed points in the set of representing measures for the disc algebra
JO - Annales Polonici Mathematici
PY - 1995
VL - 61
IS - 1
SP - 59
EP - 62
AB - It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.
LA - eng
KW - disc algebra; exposed point; representing measure; weak-exposed point; representing measures
UR - http://eudml.org/doc/262317
ER -

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