@article{Huang2024, 
author = {Wenbo Huang and Jiankui Li and Shaoze Pan},
title = {Some zero product preserving additive mappings of operator algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22213-22224},
keywords = {AF algebra, Jordan ∗-derivation, locally measurable operator, properly infinite C∗-algebra, von Neumann algebra},
url = {https://www.sciopen.com/article/10.3934/math.20241080},
doi = {10.3934/math.20241080},
abstract = {Let  M be a von Neumann algebra without direct commutative summands, and let  A be an arbitrary subalgebra of  LS(M) containing  M, where  LS(M) is the  ∗-algebra of all locally measurable operators with respect to  M. Suppose  δ is an additive mapping from  A to  LS(M) that satisfies the condition  δ(A)B∗+Aδ(B)+δ(B)A∗+Bδ(A)=0 whenever  AB=BA=0. In this paper, we prove that there exists an element  Y in  LS(M) such that  δ(X)=XY−YX∗, for every  X in  A.}
}