| Publication type: |
Article |
| Author: |
Lutz Schröder |
| Title: |
Linearizability of Non-expansive Semigroup Actions on Metric Spaces |
| Volume: |
155 |
| Page(s): |
1576 – 1579 |
| Journal: |
Topology and its Applications |
| Year published: |
2008 |
| 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.
|
| PDF Version: |
http://www.informatik.uni-bremen.de/~lschrode/papers/FixedPoint.pdf |
| Keywords: |
Metric space semigroup action fixed point linearization |
| Note / Comment: |
Preliminary version appeared as DFKI Research Report RR-06-1, DFKI GmbH, Kaiserslautern, 2006 |
| Status: |
Reviewed |
| Last updated: |
09. 07. 2008 |
