详细信息
Characterizations of Jordan derivations and Jordan homomorphisms ( SCI-EXPANDED收录)
文献类型:期刊文献
英文题名:Characterizations of Jordan derivations and Jordan homomorphisms
作者:Li, Jiankui[1];Zhou, Jiren[1]
机构:[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
年份:2011
卷号:59
期号:2
起止页码:193
外文期刊名:LINEAR & MULTILINEAR ALGEBRA
收录:;WOS:【SCI-EXPANDED(收录号:WOS:000287490700006)】;
基金:This article is supported by the National Science Foundation of China.
语种:英文
外文关键词:CSL algebra; derivation; Jordan derivation; Jordan homomorphism
摘要:Let A be a unital Banach algebra and M be a unital A-bimodule. We show that if is a linear mapping from A into M satisfying (ST) = (S)T +S(T) for any S, T A with ST = W, where W is a left or right separating point of M, then is a Jordan derivation. Also, it is shown that every linear mapping h from A into a unital Banach algebra B which satisfies h(S)h(T) = h(ST) for any S, T A with ST = W is a Jordan homomorphism if h(W) is a separating point of B.
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