# Higher-order spectral shift function for resolvent comparable perturbations

@inproceedings{Nuland2022HigherorderSS, title={Higher-order spectral shift function for resolvent comparable perturbations}, author={Teun D.H. van Nuland and Anna Skripka}, year={2022} }

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 S n , n ≥ 2, of operators on a separable Hilbert space, we establish higher order trace formulas for a broad set of functions f containing several major classes of test functions and also establish existence of the respective locally integrable real-valued spectral shift functions determined uniquely up to a low degree polynomial summand. Our…

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