| 标准算子代数上满足某些等式的广义导子的刻画(英文) |
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| 引用本文： | 齐霄霏,侯晋川.标准算子代数上满足某些等式的广义导子的刻画(英文)[J].数学进展,2011(6). |
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| 作者姓名： | 齐霄霏 侯晋川 |
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| 作者单位： | 山西大学数学科学学院;太原理工大学数学系; |
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| 基金项目： | supported by NSFC(No10771157); Research Grant to Returned Scholars of Shanxi(2007-38); Foundation of Shanxi University |
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| 摘 要： | 令H为复数域C上的Hilbert空间,A为H上的标准算子代数.设δ:A→B(H)是线性映射.本文证明了,如果对任意A∈A成立δ(AA~*A)=δ(A)A~*A-Aδ(A~*)A+AA~*δ(A),则存在λ∈C及算子S,T∈B(H)满足S+T=λI,使得对所有的A∈A都有δ(A)=SA-AT.
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| 关 键 词： | 标准算子代数 广义导子 线性映射 |
Generalized Derivations Satisfying Some Equations on Standard Operator Algebras |
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| QI Xiaofei,HOU Jinchuan.Generalized Derivations Satisfying Some Equations on Standard Operator Algebras[J].Advances in Mathematics,2011(6). |
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| Authors: | QI Xiaofei HOU Jinchuan |
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| Institution: | QI Xiaofei~(1,*),HOU Jinchuan~(1,2,**) (1.School of Mathematical Sciences,Shanxi University,Taiyuan,Shanxi,030006,P.R.China,2.Dept.of Math.,Taiyuan University of Technology,030024,P.R.China) |
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| Abstract: | |
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| Keywords: | standard operator algebras generalized derivations linear maps |
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