D. Zanin

activity

20102026

most citedCwikel estimates revisited

23 citations · 132 across the 75 of their papers we have counts for

collaborators

Showing 2016 · math.OAShow all

5 papers · 2 filters

math.OA2016

Krein's trace theorem revisited

Denis Potapov, Fedor Sukochev, Dmitriy Zanin

We supply the first proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for~ $σ$ -finite von Neumann algebras $M$ of type II and unbounded p…

math.OA2016★ 1 cited

Banach limits and traces on $L_{1, \infty}$

Evgenii Semenov, Fedor Sukochev, Aleksandr Usachev +1

We introduce a new approach to traces on the principal ideal $L_{1, \infty}$ generated by any positive compact operator whose singular value sequence is the harmonic sequen…

math.OA2016

Fuglede-Putnam theorem for locally measurable operators

A. Ber, V. Chilin, F. Sukochev +1

We extend the Fuglede-Putnam theorem from the algebra $B (H)$ of all bounded operators on the Hilbert space $H$ to the algebra of all locally measurable operators affiliated with a…

math.OA2016

Fubini theorem in noncommutative geometry

Fedor Sukochev, Dmitriy Zanin

We discuss the Fubini formula in Alain Connes' noncommutative geometry. We present a sufficient condition on spectral triples for which a Fubini formula holds true. The condition i…

math.OA2016

Determinants associated to traces on operator bimodules

K. Dykema, F. Sukochev, D. Zanin

Given a II $_{1}$ -factor $M$ with tracial state $τ$ and given an $M$ -bimodule $E (M, τ)$ of operators affiliated to $M$ and a trace $φ$ …

Krein's trace theorem revisited

Banach limits and traces on L1,∞​

Fuglede-Putnam theorem for locally measurable operators

Fubini theorem in noncommutative geometry

Determinants associated to traces on operator bimodules

Banach limits and traces on $L_{1, \infty}$