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• W3100824958 abstract "Abstract In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit ageneralized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simpleproof of reflexivity is presented and a weak topology of such spaces is analyzed. This topology, called coconvextopology, agrees with the usually weak topology in Banach spaces. An example of a CAT(0)-spacewith weak topology which is not Hausdorff is given.In the end existence and uniqueness of generalized barycenters is shown, an application to isometric groupactions is given and a Banach-Saks property is proved." @default.
• W3100824958 created "2020-11-23" @default.
• W3100824958 creator A5075708170 @default.
• W3100824958 date "2014-01-01" @default.
• W3100824958 modified "2023-10-14" @default.
• W3100824958 title "Uniformly Convex Metric Spaces" @default.
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• W3100824958 doi "https://doi.org/10.2478/agms-2014-0015" @default.
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