Abstract.
We show the existence of a spectral shift function in the sense of Krein for bounded trace class perturbations of a self-adjoint operator affiliated with a semifinite von Neumann algebra
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Azamov, N.A., Dodds, P.G. & Sukochev, F.A. The Krein Spectral Shift Function in Semifinite von Neumann Algebras. Integr. equ. oper. theory 55, 347–362 (2006). https://doi.org/10.1007/s00020-006-1441-5
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DOI: https://doi.org/10.1007/s00020-006-1441-5