8 citations · 21 across the 32 of their papers we have counts for
7 papers · 1 filter
Rosenthal's inequalities: norms and quasi-Banach symmetric sequence spaces
Yong Jiao, Guangheng Xie, Fedor Sukochev +1
Let be a symmetric quasi-Banach function space with Fatou property and let be an arbitrary symmetric quasi-Banach sequence space. Suppose that is…
Dilation invariant Banach limits
Evgenii Semenov, Fedor Sukochev, Alexandr Usachev +1
We study two subclasses of Banach limits: the one consisting of Banach limits which are invariant with respect of the Cesàro operator and another one consists of Banach limits whic…
Logarithmic submajorization, uniform majorization and Hölder type inequalities for -measurable operators
Peter Dodds, Theresa Dodds, Fedor Sukochev +1
We extend the notion of the determinant function , originally introduced by T.Fack for -compact operators, to a natural algebra of -measurable operators affiliated with a…
Local invariants of non-commutative tori
Fedor Sukochev, Dmitriy Zanin
We consider a generic curved non-commutative torus extending the notion of conformally deformed non-commutative torus from \cite{Connes-Tretkoff}. In general, a curved non-commutat…
A Dixmier trace formula for the density of states
Nurulla Azamov, Edward McDonald, Fedor Sukochev +1
A version of Connes trace formula allows to associate a measure on the essential spectrum of a Schrödinger operator with bounded potential. In solid state physics there is another…
The optimal range of the Calderòn operator and its applications
F. Sukochev, K. Tulenov, D. Zanin
We identify the optimal range of the Calderòn operator and that of the classical Hilbert transform in the class of symmetric quasi-Banach spaces. Further consequences of our approa…