Abstract
It was shown in a previous work of the first-named author with De Chiffre, Glebsky and Thom that there exists a finitely presented group which cannot be approximated by almost-homomorphisms to the unitary groups U(n) equipped with the Frobenius norms (a.k.a. as L2 norm, or the Schatten-2-norm). In his ICM18 lecture, Andreas Thom asks if this result can be extended to general Schatten-p-norms. We show that this is indeed the case for 1 < p < ∞.
Original language | English |
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Pages (from-to) | 305-321 |
Number of pages | 17 |
Journal | Journal d'Analyse Mathematique |
Volume | 141 |
Issue number | 1 |
DOIs | |
State | Published - 1 Sep 2020 |
ASJC Scopus subject areas
- Analysis
- Mathematics (all)