Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660166 | Topology and its Applications | 2008 | 4 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology