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math.GR2022
On amenable Hilbert-Schmidt stable groups
Caleb Eckhardt, Tatiana Shulman
We examine Hilbert-Schmidt stability (HS-stability) of discrete amenable groups from several angles. We give a short, elementary proof that finitely generated nilpotent groups are…
math.GR2015
On subspaces of invariant vectors
Tatiana Shulman
Let be the subspace of fixed vectors for a uniformly bounded representation of a group on a Banach space . We study the problem of the existence and uniqueness of…