On the structure of support point sets
Let X be a metrizable compact convex subset of a locally convex space. Using Choquet's Theorem, we determine the structure of the support point set of X when X has countably many extreme points. We also characterize the support points of certain families of analytic functions.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290000035 |
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Article |
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doaj-2d271dfd475645f4b7aead8e45485bf72020-11-25T00:52:23ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-01131253010.1155/S0161171290000035On the structure of support point setsE. Azoff0R. younis1Department of Mathematics, University of Georgia, Athens, Georgia 30602, GeorgiaDepartment of Mathematics, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitLet X be a metrizable compact convex subset of a locally convex space. Using Choquet's Theorem, we determine the structure of the support point set of X when X has countably many extreme points. We also characterize the support points of certain families of analytic functions.http://dx.doi.org/10.1155/S0161171290000035support pointextreme pointChoquet's theorem. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. Azoff R. younis |
| spellingShingle |
E. Azoff R. younis On the structure of support point sets International Journal of Mathematics and Mathematical Sciences support point extreme point Choquet's theorem. |
| author_facet |
E. Azoff R. younis |
| author_sort |
E. Azoff |
| title |
On the structure of support point sets |
| title_short |
On the structure of support point sets |
| title_full |
On the structure of support point sets |
| title_fullStr |
On the structure of support point sets |
| title_full_unstemmed |
On the structure of support point sets |
| title_sort |
on the structure of support point sets |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1990-01-01 |
| description |
Let X be a metrizable compact convex subset of a locally convex space. Using Choquet's Theorem, we determine the structure of the support point set of X when X has countably many extreme points. We also characterize the support points of certain families of analytic functions. |
| topic |
support point extreme point Choquet's theorem. |
| url |
http://dx.doi.org/10.1155/S0161171290000035 |
| work_keys_str_mv |
AT eazoff onthestructureofsupportpointsets AT ryounis onthestructureofsupportpointsets |
| _version_ |
1725242663108608000 |