All-derivable points in the algebra of all upper triangular matrices

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• 作者：Jun Zhu ; Changping Xiong ; Renyuan Zhang
• 关键词：All-derivable point ; Nest algebra ; Derivable linear mapping at G
• 刊名：Linear Algebra and its Applications
• 出版年：2008
• 出版时间：1 August 2008
• 年：2008
• 卷：429
• 期：4
• 页码：804-818
• 全文大小：156 K

文摘

Let be the algebra of all n×n upper triangular matrices. We say that an element 2448674f500d553adec1627a11""> is an all-derivable point of if every derivable linear mapping φ at G (i.e. φ(ST)=φ(S)T+Sφ(T) for any with ST=G) is a derivation. In this paper we show that is an all derivable point of if and only if G≠0.