太原理工大学学报2012，Vol.43Issue(3)：287-290,4.
套代数上广义Jordan导子的刻画
Characterization of Generalized Jordan Derivations on Nest Algebras
摘要
Abstract
Let,N be a nest on a Banach space X,and Alg,N be the associated nest algebra.In this paper,we prove that,if there is a nontrivial element in a nest,N on a Banach space X which is complemented in X,and if δ: AlgN-AlgN be an additive map satisfying δ(AB) = δ(A)B + Aτ(B) for some additive map τ:AlgN→AlgN and for all A,B∈AlgN,then τ is an additive derivation,and moreover d is an additive generalized derivation.关键词
套代数/可加导子/广义导子Key words
additive derivations/generalized derivations/nest algebras分类
数理科学引用本文复制引用
王丽,齐霄霏..套代数上广义Jordan导子的刻画[J].太原理工大学学报,2012,43(3):287-290,4.基金项目
国家自然科学基金资助项目(11101250) （11101250）
