Higher-order spectral shift function for resolvent comparable perturbations

Teun D. H. van Nuland, Anna Skripka

Given a pair of self-adjoint operators $H$ and $V$ such that $V$ is bounded and $(H+V-i{)}^{-1}-(H-i{)}^{-1}$ belongs to the Schatten-von Neumann ideal ${\mathcal{S}}^n$, $n\ge 2$, of op…