Almost commuting matrices with respect to the rank metric
arXiv:1708.05338
Abstract
We show that if A_1, A_2, ... , A_n 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 B_1, B_2, ... , B_n that are close to the matrices A_i in the rank metric.
23 pages, final accepted version, to appear in Groups Geom. Dyn