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Description of Continuous Isometry Covariant Valuations on Convex Sets

โœ Scribed by S. Alesker


Book ID
110219377
Publisher
Springer
Year
1999
Tongue
English
Weight
58 KB
Volume
74
Category
Article
ISSN
0046-5755

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Fixed points of isometries on weakly com
โœ Teck-Cheong Lim; Pei-Kee Lin; C. Petalas; T. Vidalis ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

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