A concept of convergence in geodesic spaces
A CAT(0) space is a geodesic space for which each geodesic triangle is at least as 'thin' as its comparison triangle in the Euclidean plane. A notion of convergence introduced independently several years ago by Lim and Kuczumow is shown in CAT(0) spaces to be very similar to the usual weak...
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th-cmuir.6653943832-55262014-08-30T02:56:38Z A concept of convergence in geodesic spaces Kirk W.A. Panyanak B. A CAT(0) space is a geodesic space for which each geodesic triangle is at least as 'thin' as its comparison triangle in the Euclidean plane. A notion of convergence introduced independently several years ago by Lim and Kuczumow is shown in CAT(0) spaces to be very similar to the usual weak convergence in Banach spaces. In particular many Banach space results involving weak convergence have precise analogues in this setting. At the same time, many questions remain open. © 2007 Elsevier Ltd. All rights reserved. 2014-08-30T02:56:38Z 2014-08-30T02:56:38Z 2008 Article 0362546X 10.1016/j.na.2007.04.011 NOAND http://www.scopus.com/inward/record.url?eid=2-s2.0-42949122454&partnerID=40&md5=767671b0d2b0d964a7202f5ee02a57d6 http://cmuir.cmu.ac.th/handle/6653943832/5526 English |
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A CAT(0) space is a geodesic space for which each geodesic triangle is at least as 'thin' as its comparison triangle in the Euclidean plane. A notion of convergence introduced independently several years ago by Lim and Kuczumow is shown in CAT(0) spaces to be very similar to the usual weak convergence in Banach spaces. In particular many Banach space results involving weak convergence have precise analogues in this setting. At the same time, many questions remain open. © 2007 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Kirk W.A. Panyanak B. |
| spellingShingle |
Kirk W.A. Panyanak B. A concept of convergence in geodesic spaces |
| author_facet |
Kirk W.A. Panyanak B. |
| author_sort |
Kirk W.A. |
| title |
A concept of convergence in geodesic spaces |
| title_short |
A concept of convergence in geodesic spaces |
| title_full |
A concept of convergence in geodesic spaces |
| title_fullStr |
A concept of convergence in geodesic spaces |
| title_full_unstemmed |
A concept of convergence in geodesic spaces |
| title_sort |
concept of convergence in geodesic spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-42949122454&partnerID=40&md5=767671b0d2b0d964a7202f5ee02a57d6 http://cmuir.cmu.ac.th/handle/6653943832/5526 |
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1681420442280132608 |