4 papers
Fractional Sobolev embeddings on noncommutative torus
F. Sukochev, R. Tastankul, K. Tulenov +1
In this paper, we study the noncommutative fractional symmetric Sobolev spaces on noncommutative torus. We prove noncommutative distributional fractional Sobolev inequality and as…
Weyl asymptotic formulas in the nilpotent Lie group setting
Shiqi Liu, Edward McDonald, Fedor Sukochev +1
The asymptotic properties of negative order pseudo-differential operators have been an important part of the spectral theory since H.Weyl's classical results. In this paper, we der…
Schur bounded patterns, submajorisation and operator Lipschitz functions
Edward McDonald, Fedor Sukochev, Dmitriy Zanin
A Schur bounded pattern is a subset such that Schur multiplication by every bounded function on supported on defines a bounded linear ope…
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…