Singular traces and perturbation formulae of higher order

Denis Potapov, Fedor Sukochev, Aleksandr Usachev +1

Let $H,V$ be self-adjoint operators such that $V$ belongs to the weak trace class ideal. We prove higher order perturbation formula $$τ\big(f(H+V)-\sum_{j=0}^{n-1}\frac{1}{j!}\fra…