Abstract
The paper is devoted to $2$-local derivations on the algebra $LS(M)$ of all locally measurable operators affiliated with a type I$_\infty$ von Neumann algebra $M$. We prove that every $2$-local derivations on any $*$-subalgebra $\mathcal{A}$ in $LS(M)$, such that $M\subseteq\mathcal{A}$, is a derivation.
Citation
Shavkat Abdullaevich Ayupov. Amir Alauadinov. Karimbergen Kudaybergenov. "$2$-local derivations on algebras of locally measurable operators." Ann. Funct. Anal. 4 (2) 110 - 117, 2013. https://doi.org/10.15352/afa/1399899529
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