Exposed points in the set of representing measures for the disc algebra
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 59-62
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
disc algebra, exposed point, representing measure
Affiliations des auteurs :
Alexander Izzo 1
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author = {Alexander Izzo},
title = {Exposed points in the set of representing measures for the disc algebra},
journal = {Annales Polonici Mathematici},
pages = {59--62},
year = {1995},
volume = {61},
number = {1},
doi = {10.4064/ap-61-1-59-62},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-59-62/}
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TY - JOUR AU - Alexander Izzo TI - Exposed points in the set of representing measures for the disc algebra JO - Annales Polonici Mathematici PY - 1995 SP - 59 EP - 62 VL - 61 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-59-62/ DO - 10.4064/ap-61-1-59-62 LA - en ID - 10_4064_ap_61_1_59_62 ER -
Alexander Izzo. Exposed points in the set of representing measures for the disc algebra. Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 59-62. doi: 10.4064/ap-61-1-59-62
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