41 citations · 153 across the 25 of their papers we have counts for
6 papers · 1 filter
Krein's trace theorem revisited
Denis Potapov, Fedor Sukochev, Dmitriy Zanin
We supply the first proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for~-finite von Neumann algebras of type II and unbounded p…
Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture
Martijn Caspers, Denis Potapov, Fedor Sukochev +1
Let be a semi-finite von Neumann algebra and let be a Lipschitz function. If are self-adjoint operators suc…
Frechet differentiability of Sp norms
Denis Potapov, Fedor Sukochev
One of the long standing questions in the theory of Schatten-von Neumann ideals of compact operators is whether their norms have the same differentiability properties as the norms…
The Walsh basis in the Lp-spaces of hyperfinite III_λ-factors, 0 < λ<= 1
M. Caspers, D. Potapov, F. Sukochev
We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the Lp-spaces (1 < p < \infty) associated with the hyperfinite III_λ-factors (0 < λ<= 1).
Unbounded Fredholm modules and double operator integrals
Denis Potapov, Fyodor Sukochev
In noncommutative geometry one is interested in invariants such as the Fredholm index or spectral flow and their calculation using cyclic cocycles. A variety of formulae have been…
The Haar system in the preduals of hyperfinite factors
Denis Potapov, Fyodor Sukochev
We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types , , , . In the semifinite…