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