Dmitriy Zanin

activity

20122024

most citedJohnson-Schechtman inequalities for noncommutative martingales

1 citations · 4 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.OA2024

Lack of isomorphic embeddings of $ℓ_{p, q}$ into $L_{p, q} (M, τ)$ over a noncommutative probability space

Jinghao Huang, Olga Sadovskaya, Fedor Sukochev +1

We prove that the sequence space $ℓ_{p, q}$ does not embed into $L_{p, q} (M, τ)$ for any noncommutative probability space $(M, τ)$ , $1 < p < \infty$ , $1\le q<\inft…

math.OA2023

Local invariants of conformally deformed non-commutative tori II: multiple operator integrals

Teun D. H. van Nuland, Fedor Sukochev, Dmitriy Zanin

We explicitly compute the local invariants (heat kernel coefficients) of a conformally deformed non-commutative $d$ -torus using multiple operator integrals. We derive a recursive f…

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

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…