59 citations · 62 across the 3 of their papers we have counts for
3 papers
math.OA2010★ 3 cited
Lidskii-type formulae for Dixmier traces
A. A. Sedaev, F. A. Sukochev, D. V. Zanin
We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geomet…
math.OA2006
The Dixmier trace and asymptotics of zeta functions
A. L. Carey, A. Rennie, A. Sedaev +1
We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the trace of the heat semigroup. We prove our r…
math.FA2005★ 59 cited
Dixmier Traces as Singular Symmetric Functionals and Applications to Measurable Operators
Steven Lord, Aleksandr Sedaev, Fyodor Sukochev
This paper introduces a new approach to the non-normal Dixmier and Connes-Dixmier traces (introduced by Dixmier and adapted to non-commutative geometry by Connes) on a general Marc…