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Analysis on simple Lie groups and lattices
Mikael de la Salle
We present a simple tool to perform analysis with groups such as SL(n,R) and SL(n,Z), that has been introduced by Vincent Lafforgue in his study of non-unitary representations, in…
A duality operators/Banach spaces
Mikael de la Salle
Given a set of operators between subspaces of spaces, we characterize the operators between subspaces of spaces that remain bounded on the -valued space fo…
Operator space valued Hankel matrices
Mikael de la Salle
If is an operator space, the non-commutative vector valued spaces have been defined by Pisier for any . In this paper a necessary and suffi…
A shorter proof of a result by Potapov and Sukochev on Lipschtiz functions on
Mikael de la Salle
In this short note we give a short proof of a recent result by Potapov and Sukochev (arXiv:0904.4095v1), stating that a Lipschitz function on the real line remains Lipschitz on the…