We show that if are square matrices, each of them is either unitary or self-adjoint, and they almost commute with respect to the rank metric, then one can find commuting matrices , , , that are close to the matrices in the rank metric.
Cite this article
Gábor Elek, Łukasz Grabowski, Almost commuting matrices with respect to the rank metric. Groups Geom. Dyn. 15 (2021), no. 3, pp. 1059–1083DOI 10.4171/GGD/623