59 citations · 72 across the 14 of their papers we have counts for
14 papers
An Application of Singular Traces to Crystals and Percolation
N. Azamov, E. Hekkelman, E. McDonald +2
For a certain class of discrete metric spaces, we provide a formula for the density of states. This formula involves Dixmier traces and is proven using recent advances in operator…
Estimates for Schur Multipliers and Double Operator Integrals -- A Wavelet Approach
Edward McDonald, Thomas Tzvi Scheckter, Fedor Sukochev
We discuss the work of Birman and Solomyak on the singular numbers of integral operators from the point of view of modern approximation theory, in particular with the use of wavele…
Weak compactness criteria in space in terms of Orlicz function
Yerlan Nessipbayev, Kanat Tulenov
In this paper, we provide a direct proof for the equivalence of K.M. Chong's and De la Vallée Poussin's criteria of weak compactness of a subset of in terms of some…
Kruglov operator and operators defined by random permutations
S. V. Astashkin, D. V. Zanin, E. M. Semenov +1
The Kruglov property and the Kruglov operator play an important role in the study of geometric properties of r.i. function spaces. We prove that the boundedness of the Kruglov oper…
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…
Integration on locally compact noncommutative spaces
A. Carey, V. Gayral, A. Rennie +1
We present an ab initio approach to integration theory for nonunital spectral triples. This is done without reference to local units and in the full generality of semifinite noncom…