On the krein-milman theorem in CAT(κ) spaces
© 2018, SINUS Association. All rights reserved. Let κ > 0 and (X, ρ) be a complete CAT(κ) space whose diameter smaller than (Forumala Presented). It is shown that if K is a nonempty compact convex subset of X, then K is the closed convex hull of its set of extreme points. This is an extension of...
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th-cmuir.6653943832-627752018-11-29T07:49:07Z On the krein-milman theorem in CAT(κ) spaces Bancha Panyanak Mathematics © 2018, SINUS Association. All rights reserved. Let κ > 0 and (X, ρ) be a complete CAT(κ) space whose diameter smaller than (Forumala Presented). It is shown that if K is a nonempty compact convex subset of X, then K is the closed convex hull of its set of extreme points. This is an extension of the Krein-Milman theorem to the general setting of CAT(κ) spaces. 2018-11-29T07:49:07Z 2018-11-29T07:49:07Z 2018-01-01 Journal 18434401 15842851 2-s2.0-85054982853 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054982853&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62775 |
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Thailand |
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CMU Intellectual Repository |
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Mathematics |
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Mathematics Bancha Panyanak On the krein-milman theorem in CAT(κ) spaces |
| description |
© 2018, SINUS Association. All rights reserved. Let κ > 0 and (X, ρ) be a complete CAT(κ) space whose diameter smaller than (Forumala Presented). It is shown that if K is a nonempty compact convex subset of X, then K is the closed convex hull of its set of extreme points. This is an extension of the Krein-Milman theorem to the general setting of CAT(κ) spaces. |
| format |
Journal |
| author |
Bancha Panyanak |
| author_facet |
Bancha Panyanak |
| author_sort |
Bancha Panyanak |
| title |
On the krein-milman theorem in CAT(κ) spaces |
| title_short |
On the krein-milman theorem in CAT(κ) spaces |
| title_full |
On the krein-milman theorem in CAT(κ) spaces |
| title_fullStr |
On the krein-milman theorem in CAT(κ) spaces |
| title_full_unstemmed |
On the krein-milman theorem in CAT(κ) spaces |
| title_sort |
on the krein-milman theorem in cat(κ) spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85054982853&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62775 |
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