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

collaborators

14 papers

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.FA2020

Non-existence of translation-invariant derivations on algebras of measurable functions

Aleksey Ber, Jinghao Huang, Karimbergen Kudaybergenov +1

Let $S (0, 1)$ be the $*$ -algebra of all classes of Lebesgue measurable functions on the unit interval $(0, 1)$ and let $(A, ∥ \cdot ∥_{A})$ be a complete…

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…