41 citations · 153 across the 25 of their papers we have counts for
Showing 2009 · math.FAShow all
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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.FA2009★ 34 cited
Measures from Dixmier Traces and Zeta Functions
Steven Lord, Denis Potapov, Fedor Sukochev
For essentially bounded functions on a (closed) compact Riemannian manifold, the noncommutative residue and the Dixmier trace formulation of the noncommutative integral are shown t…
math.FA2009★ 6 cited
Operator-Lipschitz functions in Schatten-von Neumann classes
Denis Potapov, Fedor Sukochev
This paper resolves a number of conjectures in the perturbation theory of linear operators. Namely, we prove that every Lipschitz function is operator Lipschitz in the Schatten-von…