Property ( T ) and rigidity for actions on Banach spaces
Identifieur interne : 000957 ( Main/Merge ); précédent : 000956; suivant : 000958Property ( T ) and rigidity for actions on Banach spaces
Auteurs : Uri Bader [Israël, États-Unis] ; Alex Furman [États-Unis] ; Tsachik Gelander [Israël] ; Nicolas Monod [Suisse]Source :
- Acta Mathematica [ 0001-5962 ] ; 2007-03-01.
Abstract
Abstract: We study property (T) and the fixed-point property for actions on L p and other Banach spaces. We show that property (T) holds when L 2 is replaced by L p (and even a subspace/quotient of L p ), and that in fact it is independent of 1≤p<∞. We show that the fixed-point property for L p follows from property (T) when 1
DOI: 10.1007/s11511-007-0013-0
Url:
DOI: 10.1007/s11511-007-0013-0
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<front><div type="abstract" xml:lang="en">Abstract: We study property (T) and the fixed-point property for actions on L p and other Banach spaces. We show that property (T) holds when L 2 is replaced by L p (and even a subspace/quotient of L p ), and that in fact it is independent of 1≤p<∞. We show that the fixed-point property for L p follows from property (T) when 1</div>
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