3 papers
math.AP2026
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…
math.FA2026
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…
math.FA2026
Schur bounded patterns and submajorisation
Edward McDonald, Fedor Sukochev, Dmitriy Zanin
We characterise the Schur bounded patterns of ideals of compact operators that are not closed under submajorisation, in particular the Schatten ideals with …