Nonlinear maps preserving Lie products on factor von Neumann algebras

作者：Zhang Jian Hua^*; Zhang Fang Juan

来源：Linear Algebra and Its Applications, 2008, 429(1): 18-30.

DOI：10.1016/j.laa.2008.01.031

• preserver
• Lie product
• von Neumann algebra

In this paper, we prove that every bijective map preserving Lie products from a factor von Neumann algebra X into another factor von Neumann algebra N is of the form A -> phi(A) + xi(A), where phi : M -> N is an additive isomorphism or the negative of an additive anti-isomorphism and xi : M -> C1 is a map with xi(AB - BA) = 0 for all A, B is an element of M.

• 出版日期2008-7-1
• 单位陕西师范大学