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环导子的稳定性
引用本文:陈斌,曲凡连. 环导子的稳定性[J]. 纺织高校基础科学学报, 2009, 22(1)
作者姓名:陈斌  曲凡连
作者单位:陕西师范大学,数学与信息科学学院,陕西,西安,710062
摘    要:采用算子论的方法,刻画无序的Banach代数上环导子的广义Hyers-Ulam-Rassias稳定性,证明了无序的Banach代数上逼近环导子是环导子.

关 键 词:环导子  无序的Banach代数  稳定性

On the stability of ring derivations
CHEN Bin,QU Fan-lian. On the stability of ring derivations[J]. Basic Sciences Journal of Textile Universities, 2009, 22(1)
Authors:CHEN Bin  QU Fan-lian
Abstract:Using operator theoretic method,the generalized Hyers-Ulam-Rassias stability of ring derivation on a Banach algebra without order is investigated. And it is proved that every approximate ring derivation on a Banach algebra without order is exactly a ring derivation.
Keywords:ring derivation  Banach algebra without order  stability  
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