文献类型：期刊文献

英文题名：Jordan and Jordan higher all-derivable points of some algebras

作者：Li, Jiankui[1];Pan, Zhidong[2];Shen, Qihua[3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Saginaw Valley State Univ, Dept Math, University Ctr, MI 48710 USA;[3]Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201620, Peoples R China

年份：2013

卷号：61

期号：6

起止页码：831

外文期刊名：LINEAR & MULTILINEAR ALGEBRA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000313033500011)】；

基金：This work is supported by NSF of China and the Ruth and Ted Braun Fellowship from the Saginaw Community Foundation.

语种：英文

外文关键词：Jordan all-derivable point; Jordan derivation; Jordan higher all-derivable point; Jordan higher derivation; nest algebra

摘要：In this article, we characterize Jordan derivable mappings in terms of the Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest ?? on a Banach space X with the associated nest algebra alg???, if there exists a non-trivial element in ?? that is complemented in X, then every C???alg??? is a Jordan all-derivable point of L(alg???, B(X)) and a Jordan higher all-derivable point of L(alg???).