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Malnormal matrices

Published in Proceedings of the American Mathematical Society • Sep 22, 2021
NobleIDNI6P45W20R03S07
Authors:
Garrett Mulcahy
,
Thomas Sinclair

Abstract

We exhibit an operator norm bounded, infinite sequence { A n } \{A_n\} of 3 n × 3 n 3n \times 3n complex matrices for which the commutator map X ↦ X A n − A n X X\mapsto XA_n - A_nX is uniformly bounded below as an operator over the space of trace-zero self-adjoint matrices equipped with Hilbert–Sch...

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