Characterizations of Lie Triple Derivations on the Algebra of Operators in Hilbert C^(*)-Modules  

作　　者：Guangyu AN Jun SHENG Jun HE 

机构地区：[1]Department of Mathematics,Shaanxi University of Science and Technology,Shaanxi 710021,P.R.China [2]Department of Mathematics,Anhui Polytechnic University,Anhui 241000,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第3期387-396,共10页数学研究及应用（英文版）

基　　金：Supported by the Shaanxi College Students Innovation and Entrepreneurship Training Program(Grant No.S202110708069)。

摘　　要：Let A be a commutative unital C^(*)-algebra with the unit element e and M be a full Hilbert A-module.Denote by End_(A)(M)the algebra of all bounded A-linear mappings on M and by M′the set of all bounded A-linear mappings from M into A.In this paper,we prove that if there exists x_(0) in M and f_(0) in M′such that f_(0)(x_(0))=e,then every A-linear Lie triple derivation on End_(A)(M)is standard.

关 键 词：Lie triple derivation standard DERIVATION Hilbert C^(*)-module 

分 类 号：O15[理学—数学]