Additive Biderivations and Centralizing Maps on Nest Algebras

• 作 者: Xiaofei QI
• 机 构: DepartmentofMathematics
• 出 处: 数学研究及应用：英文版
• 发表日期: 2013年2期
• 关键词: NEST代数 添加剂 地图 集中化 BANACH空间 套代数 biderivations commuting maps centralizing maps ne
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11101250） and Youth Foundation of Shanxi Province （Grant No. 2012021004）. The author would like to thank the referees for valua

Let N be a nest on a Banach space X,and AlgN be the associated nest algebra.It is shown that,if there exists a non-trivial element N in N which is complemented in X and dim N = 1,then every additive biderivation from AlgN into itself is an inner biderivat