8 citations · 21 across the 15 of their papers we have counts for
10 papers · 1 filter
Spectral estimates and asymptotics for stratified Lie groups
Edward McDonald, Fedor Sukochev, Dmitriy Zanin
We study Cwikel-type estimates for the singular values and Schatten -norms of compositions of multiplication and convolution operators acting on stratified Lie group…
Distributional inequalities for noncommutative martingales
Yong Jiao, Fedor Sukochev, Lian Wu +1
We establish distributional estimates for noncommutative martingales, in the sense of decreasing rearrangements of the spectra of unbounded operators, which generalises the study o…
Connes Integration Formula without singular traces
Fedor Sukochev, Dmitriy Zanin
A version of Connes Integration Formula which provides concrete asymptotics of the eigenvalues is given. This radically extending the class of quantum-integrable functions on compa…
Cwikel-Solomyak estimates on tori and Euclidean spaces
Fedor Sukochev, Dmitriy Zanin
We revise Cwikel-type estimate for the singular values of the operator on the torus for t…
Weak estimates for multiple operator integrals and generalized absolute value functions
Martijn Caspers, Fedor Sukochev, Dmitriy Zanin
Consider the generalized absolute value function defined by \[ a(t) = \vert t \vert t^{n-1}, \qquad t \in \mathbb{R}, n \in \mathbb{N}_{\geq 1}. \] Further, consider the -th ord…
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…