6 papers · 1 filter
The Daugavet property in symmetric operator spaces
Jinghao Huang, Yerlan Nessipbayev, Fedor Sukochev +1
Under mild assumptions, the main results of this paper characterize a (real or complex) symmetric operator space affiliated with a semi-finite atomless von Neumann algebra $(\mathc…
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…
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…
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 t…
Spectral asymptotic formula of Bessel--Riesz commutator
Zhijie Fan, Ji Li, Fedor Sukochev +1
Let be the -th Bessel--Riesz transform, where , , and . In this article, we establish a Weyl type asymptotic for , the com…