von Neumann代数中套子代数上的保反零积线性映射

Linear Mappings of Preserving Anti-zero Products on Nest Subalgebra of von Neumann Algebras

证明了因子von Neumann代数中非平凡套子代数上的每一个双向保反零积及单位的线性满射均是一个反同构.

It was proved that every subjective linear mappings of preserving identity and anti-zero product in both directions between two nest subalgebras with non-trivial nests of any factor von Neumann algebra was an anti-isomorphism.