典型文献
Additive Maps Preserving the Truncation of Operators
文献摘要:
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 =PABPA*,where PA and PA* 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.
文献关键词:
中图分类号:
作者姓名:
Jie YAO;Guoxing JI
作者机构:
School of Mathematics and Statistics,Shaanxi Normal University,Shaanxi 710119,P.R.China
文献出处:
引用格式:
[1]Jie YAO;Guoxing JI-.Additive Maps Preserving the Truncation of Operators)[J].数学研究及应用,2022(01):89-94
A类:
Truncation,PABPA,surjective
B类:
Additive,Maps,Preserving,Operators,Let,complex,Hilbert,space,algebra,bounded,linear,operators,An,called,truncation,if,where,denote,projections,onto,closures,respectively,In,this,paper,we,determine,structures,additive,maps,preserving,both,directions
AB值:
0.624547
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