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

作     者：Guangyu AN Jun SHENG Jun HE Guangyu AN;Jun SHENG;Jun HE

作者机构：Department of MathematicsShaanxi University of Science and Technology Department of MathematicsAnhui Polytechnic University 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2024年第44卷第3期

页      面：387-396页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：Lie triple derivation standard derivation Hilbert C*-module 

摘      要：Let A be a commutative unital C*-algebra with the unit element e and M be a full Hilbert *** by EndA（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 *** this paper,we prove that if there exists x0in M and f0in M′such that f0（x0）=e,then every A-linear Lie triple derivation on EndA（M） is standard.