Amir Alauadinov | Searcharxiv

arXiv2024

Local derivation on the $n$-th Schr{ö}dinger algebra

This paper is devoted to study local derivations on the $n$-th Schr{ö}dinger algebra $\mathcal{S}_{n}.$ We prove that every local derivation on $\mathcal{S}_{n}$ is a derivation.

math.RA↗

arXiv2017

2-Local derivations on matrix algebras and algebras of measurable operators

Let $\mathcal{A}$ be a unital Banach algebra such that any Jordan derivation from $\mathcal{A}$ into any $\mathcal{A}$-bimodule $\mathcal{M}$ is a derivation. We prove that any 2-local derivation from the algebra $M_n(\mathcal{A})$ into $M_n(\mathcal{M})$ $(n\geq 3)$ is a derivation. We apply this result to show that any 2-local derivation on the algebra of locally measurable operators affiliated with a von Neumann algebra without direct abelian summands is a derivation.

math.OA↗