TY - JOUR
T1 - Non p-norm approximated Groups
AU - Lubotzky, Alexander
AU - Oppenheim, Izhar
N1 - Publisher Copyright:
© 2020, The Hebrew University of Jerusalem.
PY - 2020/9
Y1 - 2020/9
N2 - 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 < ∞.
AB - 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 < ∞.
UR - http://www.scopus.com/inward/record.url?scp=85095954457&partnerID=8YFLogxK
U2 - 10.1007/s11854-020-0119-2
DO - 10.1007/s11854-020-0119-2
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85095954457
SN - 0021-7670
VL - 141
SP - 305
EP - 321
JO - Journal d'Analyse Mathematique
JF - Journal d'Analyse Mathematique
IS - 1
ER -