Group actions on Banach spaces and a geometric characterization of a-T-menability

dc.creatorNowak, Piotr W.
dc.date2004-04-22
dc.date2009-01-14
dc.date.accessioned2026-07-07T12:29:15Z
dc.date.available2026-07-07T12:29:15Z
dc.descriptionWe prove a geometric characterization of a-T-menability through proper, affine, isometric actions on the Banach spaces $L_p[0,1]$ for $1<p<2$. This answers a question of A. Valette.
dc.descriptionThis version differs significantly from both the published version and the previous arXiv versions. The reason is a long overdue correction of implication 1=>3 in the proof of the main result. In the current version the proof is fixed but with a very different argument. I owe thanks to Cornelia Drutu for helpful correspondence which led to this update
dc.identifierhttps://arxiv.org/abs/math/0404402
dc.identifierhttp://arxiv.org/abs/math/0404402
dc.identifierTopology and its Applications (2006) vol. 156 (18) pp. 3409-3412
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215815
dc.subjectMetric Geometry
dc.subjectFunctional Analysis
dc.titleGroup actions on Banach spaces and a geometric characterization of a-T-menability
dc.typetext

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