A. Ber

activity

20082024

most citedDerivations in algebras of operator-valued functions

30 citations · 65 across the 14 of their papers we have counts for

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13 papers · 1 filter

math.OA2024

Kuroda's theorem for $n$ -tuples in semifinite von Neumann algebras

Aleksey Ber, Fedor Sukochev, Dmitriy Zanin +1

Let $M$ be a semifinite von Neumann algebra and let $E$ be a symmetric function space on $(0, \infty)$ . Denote by $E (M)$ the non-commutative symmetric space of m…

math.OA2024

Diagonality modulo symmetric spaces in semifinite von Neumann algebras

Aleksey Ber, Fedor Sukochev, Dmitriy Zanin +1

In the study on the diagonality of an $n$ -tuple $α = (α (j))_{j = 1}^{n}$ of commuting self-adjoint operators modulo a given $n$ -tuple $Φ = (J_{1}, \dots, J_{n})$ of normed i…

math.OA2019★ 4 cited

Notes on derivations of Murray--von Neumann algebras

Aleksey Ber, Karimbergen Kudaybergenov, Fedor Sukochev

Let $M$ be a type II $_{1}$ von Neumann factor and let $S (M)$ be the associated Murray-von Neumann algebra of all measurable operators affiliated to $M .$ …

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.OA2013

Derivations with values in quasi-normed bimodules of locally measurable operators

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

We prove that every derivation acting on a von Neumann algebra $M$ with values in a quasi-normed bimodule of locally measurable operators affiliated with $M$ is…

math.OA2013★ 20 cited

Innerness of continuous derivations on algebras of locally measurable operators

A. F. Ber, V. I. Chilin, F. A. Sukochev

It is established that every derivation continuous with respect to the local measure topology acting on the *-algebra $L S (M)$ of all locally measurable operators affiliat…