Spectrum and the fixed point sets of isometries. I
β Scribed by Harold Donnelly
- Book ID
- 105197724
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 460 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
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
We use a newly introduced concept of neocompactness to study problems from metric fixed point theory. In particular, we give a sufficient condition for a superreflexive Banach space X to have the fixed point property and obtain shorter proofs of some well-known results in that theory.  2002 Elsevie