摘要
证明了如果P为■■中一个非平凡投影,则从■■到自身的范数连续的在P处左可导映射恒为0.还证明了若δ是从■■到自身的范数连续的在0处左可导映射,则δ(A)=Aδ(I),对于任意的A∈■■.
It was proved that if Pis a nontrivial projection in■■,then every norm-continuous left derivable mapping at P from■■ into itself was 0.Ifδwas a norm-continuous left derivable mapping at 0 from■■ into itself,thenδ(A)=Aδ(I)for any A∈■■ was testified as well.
出处
《上海应用技术学院学报（自然科学版）》
2014年第3期259-261,273,共4页
Journal of Shanghai Institute of Technology: Natural Science
基金
上海市高校青年教师培育基金资助项目(ZZyyy11059)
上海应用技术学院引进人才基金资助项目(YJ2011-01)
关键词
左导子
某点处左可导映射
投影
left derivation
left derivable mapping at some point
projection
