RANK-PRESERVING LINEAR MAPS ON B(X)  

作　　者：侯晋川 

机构地区：[1]Department of Mathematics, Shanxi Teachers University, Linfen

出　　处：《Chinese Science Bulletin》1989年第15期1233-1235,共3页

摘　　要：Let X be a Banach space with dimX】2 and B(X) the Banach algebra of all bounded linear operators on X. In recent years, some authors began to study the general linear maps on B(X), for example, discuss the representation of the spectrum-preserving or the commutativity-preserving linear maps on B(X). A few latest results in this field are as follows.

关 键 词：BANACH space LINEAR OPERATOR RANK SPECTRUM 

分 类 号：N[自然科学总论]