23 citations · 132 across the 75 of their papers we have counts for
10 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…
Singular traces and perturbation formulae of higher order
Denis Potapov, Fedor Sukochev, Aleksandr Usachev +1
Let be self-adjoint operators such that belongs to the weak trace class ideal. We prove higher order perturbation formula $$τ\big(f(H+V)-\sum_{j=0}^{n-1}\frac{1}{j!}\fra…
Banach limits and traces on
Evgenii Semenov, Fedor Sukochev, Aleksandr Usachev +1
We introduce a new approach to traces on the principal ideal generated by any positive compact operator whose singular value sequence is the harmonic sequen…
Fuglede-Putnam theorem for locally measurable operators
A. Ber, V. Chilin, F. Sukochev +1
We extend the Fuglede-Putnam theorem from the algebra of all bounded operators on the Hilbert space to the algebra of all locally measurable operators affiliated with a…
Johnson-Schechtman inequalities for noncommutative martingales
Yong Jiao, Fedor Sukochev, Dmitriy Zanin +1
In this paper we study Johnson-Schechtman inequalities for noncommutative martingales. More precisely, disjointification inequalities of noncommutative martingale difference sequen…
Fubini theorem in noncommutative geometry
Fedor Sukochev, Dmitriy Zanin
We discuss the Fubini formula in Alain Connes' noncommutative geometry. We present a sufficient condition on spectral triples for which a Fubini formula holds true. The condition i…