Additive Maps Preserving the Truncation of Operators  

作　　者：Jie YAO Guoxing JI 

机构地区：[1]School of Mathematics and Statistics,Shaanxi Normal University,Shaanxi 710119,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第1期89-94,共6页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11771261)。

摘　　要：Let H be a complex Hilbert space and B(H)the algebra of all bounded linear operators on H.An operator A is called the truncation of B in B(H)if A=P_(A)BP_(A^(*)),where PA and P_(A^(*))denote projections onto the closures of R(A)and R(A^(*)),respectively.In this paper,we determine the structures of all additive surjective maps on B(H)preserving the truncation of operators in both directions.

关 键 词：truncation of operator operator equation additive map PRESERVER 

分 类 号：O177[理学—数学]