Exposed points in the set of representing measures for the disc algebra
Annales Polonici Mathematici, Tome 61 (1995) no. 1, pp. 59-62.

Voir la notice de l'article provenant de 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.
DOI : 10.4064/ap-61-1-59-62
Keywords: disc algebra, exposed point, representing measure

Alexander Izzo 1

1
@article{10_4064_ap_61_1_59_62,
     author = {Alexander Izzo},
     title = {Exposed points in the set of representing measures for the disc algebra},
     journal = {Annales Polonici Mathematici},
     pages = {59--62},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1995},
     doi = {10.4064/ap-61-1-59-62},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-59-62/}
}
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
PB  - mathdoc
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  - 
%0 Journal Article
%A Alexander Izzo
%T Exposed points in the set of representing measures for the disc algebra
%J Annales Polonici Mathematici
%D 1995
%P 59-62
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-59-62/
%R 10.4064/ap-61-1-59-62
%G en
%F 10_4064_ap_61_1_59_62
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. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-1-59-62/

Cité par Sources :