%0 Journal Article
%T Linearizability of Non-expansive Semigroup Actions on Metric Spaces
%A Lutz Schr£żder
%J Mathematics
%D 2006
%I arXiv
%R 10.1016/j.topol.2007.04.022
%X We show that a non-expansive action of a topological semigroup S on a metric space X is linearizable iff its orbits are bounded. The crucial point here is to prove that X can be extended by adding a fixed point of S, thus allowing application of a semigroup version of the Arens-Eells linearization, iff the orbits of S in X are bounded.
%U http://arxiv.org/abs/math/0612553v2