F. Sukochev

activity

19932026

most citedIndex theory for locally compact noncommutative geometries

58 citations · 593 across the 124 of their papers we have counts for

collaborators

Showing 2012 · math.OAShow all

4 papers · 2 filters

math.OA2012

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 $M_{1, \infty}$ of $B (H)$ generated by exponentiation invariant generalized limits. We prove that this new cl…

math.OA2012

On the distinction between the classes of Dixmier and Connes-Dixmier traces

Fedor Sukochev, Alexandr Usachev, Dmitriy Zanin

In the present paper we prove that the classes of Dixmier and Connes-Dixmier traces differ even on the Dixmier ideal $M_{1, \infty}$ . We construct a Marcinkiewicz space $\m…

math.OA2012

Derivations on symmetric quasi-Banach ideals of compact operators

A. F. Ber, V. I. Chilin, G. B. Levitina +1

Let $I, J$ be symmetric quasi-Banach ideals of compact operators on an infinite-dimensional complex Hilbert space $H$ , let $J : I$ be a space of multipliers from $…

math.OA2012★ 5 cited

Derivations in the Banach ideals of $τ$ -compact operators

A. F. Ber, F. A. Sukochev

Let $M$ be a von Neumann algebra equipped with a faithful normal semi-finite trace $τ$ and let $S_{0} (τ)$ be the algebra of all $τ$ -compact operators affiliated with $\math…

Dixmier traces generated by exponentiation invariant generalised limits

On the distinction between the classes of Dixmier and Connes-Dixmier traces

Derivations on symmetric quasi-Banach ideals of compact operators

Derivations in the Banach ideals of τ-compact operators

Derivations in the Banach ideals of $τ$ -compact operators