• Corpus ID: 231741269

Spectral shift for relative Schatten class perturbations

  title={Spectral shift for relative Schatten class perturbations},
  author={Teun D.H. van Nuland and Anna Skripka},
. We affirmatively settle the question on existence of a real-valued higher order spectral shift function for a pair of self-adjoint operators H and V such that V is bounded and V ( H − iI ) − 1 belongs to a Schatten-von Neumann ideal S n of compact operators in a separable Hilbert space. We also show that the function satisfies the same trace formula as in the known case of V ∈ S n and that it is unique up to a polynomial summand of order n − 1. Our result significantly advances earlier partial… 
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