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Strongly amenable semigroups and nonlinear fixed point properties |
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| Authors: | Nicolas Bouffard |
| Affiliation: | |
| Abstract: | A semi-topological semigroup is strongly left amenable if there is a compact left ideal group in the spectrum of its LUC-compactification. In this paper, we want to study those objects, and study some fixed point property related to non-expansive mapping and other similar kind of mapping. |
| Keywords: | Amenable semigroups Semigroup compactifications Minimal ideals Left ideal groups Non-expansive maps Fixed point properties Uniformly convex spaces Left uniformly continuous functions Ultimately non-expansive maps |
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