Linearizability of non-expansive semigroup actions on metric spaces |
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Authors: | Lutz Schröder |
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Institution: | DFKI-Lab Bremen and Department of Mathematics and Computer Science, Universität Bremen, Germany |
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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. |
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Keywords: | 54D35 20M30 |
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