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arxiv: 1209.5154 · v1 · pith:YSQA6SG5new · submitted 2012-09-24 · 🧮 math.OA

2-Local derivations on algebras of locally measurable operators

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keywords localalgebraderivationderivationslocallymeasurableoperatorsaffiliated
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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 derivation on $LS(M)$ is a derivation.

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