41 citations · 153 across the 25 of their papers we have counts for
3 papers · 1 filter
Higher order spectral shift for contractions
Denis Potapov, Anna Skripka, Fedor Sukochev
We derive strong estimates for Schatten norms of operator derivatives along paths of contractions and apply them to prove existence of higher order spectral shift functions for pai…
Traces of compact operators and the noncommutative residue
Nigel Kalton, Steven Lord, Denis Potapov +1
We extend the noncommutative residue of M. Wodzicki on compactly supported classical pseudo-differential operators of order and generalise A. Connes' trace theorem, which stat…
The best constants for operator Lipschitz functions on Schatten classes
Martijn Caspers, Stephen Montgomery-Smith, Denis Potapov +1
Suppose that f is a Lipschitz function on the real numbers with Lipschitz constant smaller or equal to 1. Let A be a bounded self-adjoint operator on a Hilbert space H. Let 1<p<inf…