10 papers
Norms of multiplication operators: answering Fialkow--Loebl question
Jinghao Huang, Fedor Sukochev, Ran Xu +1
Let be a factor equipped with a semi-finite faithful normal trace . Let be a symmetrically normed function space and be the corres…
Arazy-type decomposition theorem for bounded linear operators and commutators on the trace class
Jinghao Huang, Fedor Sukochev, Zhizheng Yu
The classical Arazy's decomposition theorem provides a powerful tool in the study of sequences in (and isomorphisms on) a separable operator ideal of the algebra $\m…
Isometric Structure in Noncommutative Symmetric Spaces
Kai Fang, Tianbao Guo, Jinghao Huang +1
This is a systematic study of isometries between noncommutative symmetric spaces. Let be a semifinite von Neumann algebra (or an atomic von Neumann algebra with all a…
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…