摘要
研究了完全分配交换格代数和VonNeumann代数中套子代数上的自伴线性映射.得到一类完全分配交换格代数上的自件线性映射均为T→AT—TB形式,其中A和B为自伴算子.证明了有限因子VonNeumann代数中套子代数上的自伴线性映射也可表示为T→AT—TB,其中A和B是套子代数的对角代数中的算子.
Hermitain linear maps on completely distributive CSL-algebras and nest -sbalgebras of Von Neumann algebras are discussed. The author obtain a class CSL-algebras and show that hermitian linear mapping on the CSL-algebra is of the form T→AT-TB,where A and B are hermitain operator. It is proved that hermitian linear mapping on nestsubalgebras of finite factor Von Neumann algebra is of the form T→KT-TS, where K and S belong to the diagonal of the nest-subalgebra.
出处
《陕西师大学报(自然科学版)》
CSCD
1994年第4期24-27,共4页
Journal of Shaanxi Normal University(Natural Science Edition)
基金
国家自然科学基金