Proper metrics on locally compact groups, and proper affine isometric actions on Banach spaces
| dc.creator | Haagerup, Uffe | |
| dc.creator | Przybyszewska, Agata | |
| dc.date | 2006-06-30 | |
| dc.date.accessioned | 2026-07-07T07:17:54Z | |
| dc.date.available | 2026-07-07T07:17:54Z | |
| dc.description | In this article it is proved, that every locally compact second countable group has a left invariant metric d, which generates the topology on G, and which is proper, ie. every closed d-bounded set in G is compact. Moreover, we obtain the following extension of a result due to N. Brown and E. Guentner: Every locally compact second countable $G$ admits a proper affine action on the reflexive and strictly convex Banach space $\bigoplus^{\infty}_{n=1} L^{2n}(G, dμ),$ where the direct sum is taken in the $l^2$-sense. | |
| dc.identifier | https://arxiv.org/abs/math/0606794 | |
| dc.identifier | http://arxiv.org/abs/math/0606794 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114109 | |
| dc.subject | Operator Algebras | |
| dc.title | Proper metrics on locally compact groups, and proper affine isometric actions on Banach spaces | |
| dc.type | text |