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Farthest points in weakly compact sets

โœ Scribed by Ka-Sing Lau


Book ID
112885193
Publisher
The Hebrew University Magnes Press
Year
1975
Tongue
English
Weight
244 KB
Volume
22
Category
Article
ISSN
0021-2172

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In this paper, we prove that every isometry from a nonempty weakly compact convex set K into itself fixes a point in the Chebyshev center of K, provided K satisfies the hereditary fixed point property for isometries. In particular, all isometries from a nonempty bounded closed convex subset of a uni