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math.GT2008
Coarse embeddings into a Hilbert space, Haagerup Property and Poincare inequalities
Romain Tessera
We prove that a metric space does not coarsely embed into a Hilbert space if and only if it satisfies a sequence of Poincaré inequalities, which can be formulated in terms of (gene…
math.FA2008★ 1 cited
Left inverses of matrices with polynomial decay
Romain Tessera
The algebra of Schur operators on l^2 is known not to be inverse-closed. When l^2=l^2(X) where X is a metric space, we can consider elements of the Schur algebra with certain decay…