数学季刊 ›› 2014, Vol. 29 ›› Issue (1): 125-128.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.015
摘要: In this paper, linear maps preserving Lie products at zero points on nest algebras are studied. It is proved that every linear map preserving Lie products at zero points on any finite nest algebra is a Lie homomorphism. As an application, the form of a linear bijection preserving Lie products at zero points between two finite nest algebras is obtained.
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