28 citations · 65 across the 21 of their papers we have counts for
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math.FA2009★ 5 cited
Spectral shift function of higher order
Denis Potapov, Anna Skripka, Fedor Sukochev
This paper resolves affirmatively Koplienko's conjecture of 1984 on existence of higher order spectral shift measures. Moreover, the paper establishes absolute continuity of these…
math.SP2009
Multiple operator integrals and spectral shift
Anna Skripka
Multiple scalar integral representations for traces of operator derivatives are obtained and applied in the proof of existence of the higher order spectral shift functions.
math.SP2009★ 2 cited
Higher order spectral shift, II. Unbounded case
Anna Skripka
We construct higher order spectral shift functions, which represent the remainders of Taylor-type approximations for the value of a function at a perturbed self-adjoint operator by…