Almost commuting self-adjoint matrices: The real and self-dual cases
Almost commuting self-adjoint matrices: The real and self-dual cases
We show that a pair of almost commuting self-adjoint, symmetric matrices is close to a pair of commuting self-adjoint, symmetric matrices (in a uniform way). Moreover, we prove that the same holds with self-dual in place of symmetric and also for paths of self-adjoint matrices. Since a symmetric, self-adjoint matrix …