文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF JORDAN DERIVATIONS ON STRONGLY DOUBLE TRIANGLE SUBSPACE LATTICE ALGEBRAS

作者：Chen, Yun-He[1];Li, Jian-Kui[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2011

卷号：84

期号：2

起止页码：300

外文期刊名：BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000295556900011)】；

基金：This work is supported by NSF of China.

语种：英文

外文关键词：derivation; Jordan derivation; subspace lattice

摘要：Let D be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space X and let delta : Alg D -> Alg D be a linear mapping. We show that delta is Jordan derivable at zero, that is, delta(AB + BA) = delta(A)B + A delta(B) + delta(B)A + B delta(A) whenever AB + BA = 0 if and only if delta has the form delta(A) = tau(A) + lambda A for some derivation tau and some scalar lambda. We also show that if the dimension of X is greater than 2, then delta satisfies delta(AB + BA) = delta(A)B + A delta(B) + delta(B)A + B delta(A) whenever AB = 0 if and only if delta is a derivation.