Publikation

Linearizability of Non-expansive Semigroup Actions on Metric Spaces

Lutz Schröder

In: Topology and its Applications 155 Seiten 1576-1579 2008.

Abstrakt

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.

Weitere Links

Deutsches Forschungszentrum für Künstliche Intelligenz
German Research Center for Artificial Intelligence