10 citations · 10 across the 4 of their papers we have counts for
7 papers
Pietsch correspondence for symmetric functionals on Calkin operator spaces associated with semifinite von Neumann algebras
Galina Levitina, Alexandr Usachev
In this paper we extend the Pietsch correspondence for ideals of compact operators and traces on them to the semifinite setting. We prove that a shift-monotone space of seq…
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…
Estimating Dixmier traces of Hankel operators in Lorentz ideals
Magnus Goffeng, Alexandr Usachev
In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers and general Lorentz ideals…
Constructing KMS states from infinite-dimensional spectral triples
Magnus Goffeng, Adam Rennie, Alexandr Usachev
We construct KMS-states from -summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct cons…
Dixmier traces and residues on weak operator ideals
Magnus Goffeng, Alexandr Usachev
We develop the theory of modulated operators in general principal ideals of compact operators. For Laplacian modulated operators we establish Connes' trace formula in its local Euc…
Dixmier traces generated by exponentiation invariant generalised limits
Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin
We define a new class of singular positive traces on the ideal of generated by exponentiation invariant generalized limits. We prove that this new cl…