山西大学学报（自然科学版）2009，Vol.32Issue(3)：318-320,3.
算子代数上的初等映射
Elementary Maps on Operator Algebras
摘要
Abstract
Let (R) and (R) be two rings. Under some assumptions on (R) and (R)', we show that if maps M:(R)→(R)' and M~* :(R)'→(R) are surjective and satisfy ｛M(AM~*(B)C)=M(A)BM(C) M~* (BM(A)D) = M~* (B)AM~* (D) (A)A,C∈(R),(A)B,D∈(R)' then there is a ring isomorphism N such that M(A) = N(A)M(I) and M~* (B) = N~(-1)(BM( I)). As its applications, we give a characterization of such maps on (R)(X).关键词
初等映射/环同构/套代数Key words
elementary maps/ring isomorphism/nest algebras分类
数理科学引用本文复制引用
安润玲,侯晋川..算子代数上的初等映射[J].山西大学学报（自然科学版）,2009,32(3):318-320,3.基金项目
数学天元基金(10826065) （10826065）
国家自然科学基金(10771157) （10771157）
