8 papers
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 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 …
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…
Uniformity of Maximal Hypoellipticity on Graded Lie Groups: From Pointwise to Global
Shiqi Liu, Edward McDonald, Fedor Sukochev +1
On graded Lie groups, we develop a mechanism that transfers the uniformity of maximal hypoellipcity from the frozen coefficients principal part of a differential operator to the fu…
Singular value asymptotics on compact smooth Riemaniann manifolds
Fedor Sukochev, Fulin Yang, Dmitriy Zanin
Let be a -dimensional compact smooth Riemannian manifold equipped with Laplace-Beltrami operator , and let be the -algebra obtained by locally…
Kuroda's theorem for -tuples in semifinite von Neumann algebras
Aleksey Ber, Fedor Sukochev, Dmitriy Zanin +1
Let be a semifinite von Neumann algebra and let be a symmetric function space on . Denote by the non-commutative symmetric space of m…