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Strongly amenable semigroups and nonlinear fixed point properties
Authors:Nicolas Bouffard
Institution:
  • Department of Mathematical and Statistical Sciences, 632 CAB, University of Alberta, Edmonton, AB, T6G 2G1, Canada
  • 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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