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An abstract approach to weak convergence of spectral shift functions and applications to multi-dimensional Schrödinger operators
We study the manner in which a sequence of spectral shift functions \xi(\cdot;H_j,H_{0,j}) associated with abstract pairs of self-adjoint operators (H_j, H_{0,j}) in Hilbert spaces \mathcal H_j , j\in\mathbb N , converge to a limiting spectral shift function \xi(\cdot;H,H_0) associated with a pair (H,H_0) in the limiting Hilbert space \mathcal …