数学研究及应用2024，Vol.44Issue(3) ：387-396.DOI:10.3770/j.issn:2095-2651.2024.03.009

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

Guangyu AN Jun SHENG Jun HE
数学研究及应用2024，Vol.44Issue(3) ：387-396.DOI:10.3770/j.issn:2095-2651.2024.03.009
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Characterizations of Lie Triple Derivations on the Algebra of Operators in Hilbert C*-Modules

Guangyu AN 1Jun SHENG 1Jun HE2
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作者信息

  • 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
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Abstract

Let A be a commutative unital C*-algebra with the unit element e and M be a full Hilbert A-module.Denote 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 A.In this paper,we prove that if there exists x0 in M and f0 in M'such that f0(x0)=e,then every A-linear Lie triple derivation on EndA(M)is standard.

Key words

Lie triple derivation/standard/derivation/Hilbert C*-module

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基金项目

Shaanxi College Students Innovation and Entrepreneurship Training Program(S202110708069)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
参考文献量15
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