Amine Marrakchi, Mikael de la Salle
Published 2020-01-08Version 1
We prove that, for every topological group $G$, the following two sets are intervals: the set of real numbers $p > 0$ such that every continuous action of $G$ by isometries on an $L_p$ space has bounded orbits, and the set of $p > 0$ such that $G$ admits a metrically proper continuous action by isometries on an $L_p$ space. This answers a question by Chatterji--Drutu--Haglund.
Galois cohomology of reductive algebraic groups over the field of real numbers
The z-Classes of Isometries
On isometries of twin buildings
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