41 citations · 153 across the 25 of their papers we have counts for
31 papers
Fuglede theorem for symmetric spaces of -measurable operators
Denis Potapov, Fedor Sukochev, Anna Tomskova +1
We extend the classical Fuglede commutativity theorem to the full scale of symmetrically normed operator ideals. Our main result provides a complete characterization: a symmetric i…
The Witten index and the spectral shift function
Alan Carey, Galina Levitina, Denis Potapov +1
In \cite{APSIII} Atiyah, Patodi and Singer introduced spectral flow for elliptic operators on odd dimensional compact manifolds. They argued that it could be computed from the Fred…
On a trace formula for functions of noncommuting operators
A. B. Aleksandrov, V. V. Peller, D. S. Potapov
The main result of the paper is that the Lifshits--Krein trace formula cannot be generalized to the case of functions of noncommuting self-adjoint operators. To prove this, we show…
On the Global Limiting Absorption Principle for Massless Dirac Operators
Alan Carey, Fritz Gesztesy, Jens Kaad +4
We prove a global limiting absorption principle on the entire real line for free, massless Dirac operators for all space dimensions , $…
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…