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Guangyu An

Downloads: 1 Citations: 1 Articles: 1

Publication Fields

Information Sciences

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Research Article (1)

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2026 (1)

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Wenhua Qian (1)

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Open Access Research Article Issue

Characterizations of local Lie derivations on von Neumann algebras

Guangyu An, Xueli Zhang, Jun He, Wenhua Qian

AIMS Mathematics 2022, 7(5): 7519-7527

Published: 15 May 2022

Abstract

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In this paper, we prove that every local Lie derivation on von Neumann algebras is a Lie derivation; and we show that if $M$ is a type I von Neumann algebra with an atomic lattice of projections, then every local Lie derivation on $L S (M)$ is a Lie derivation.

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