58 citations · 593 across the 124 of their papers we have counts for
9 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…
Dixmier traces generated by exponentiation invariant generalised limits
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
We define a new class of singular positive traces on the ideal of generated by exponentiation invariant generalized limits. We prove that this new cl…
On the distinction between the classes of Dixmier and Connes-Dixmier traces
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal . We construct a Marcinkiewicz space $\m…
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…
Derivations on symmetric quasi-Banach ideals of compact operators
A. F. Ber, V. I. Chilin, G. B. Levitina +1
Let be symmetric quasi-Banach ideals of compact operators on an infinite-dimensional complex Hilbert space , let be a space of multipliers from $…