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Lie Triple Derivations of CSL Algebras

✍ Scribed by Yu, Weiyan; Zhang, Jianhua

Book ID
121638045
Publisher
Springer
Year
2013
Tongue
English
Weight
405 KB
Volume
52
Category
Article
ISSN
0020-7748

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## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π’œ into an π’œβ€bimodule ℳ︁. We show that if ℳ︁ is a weak\* closed operator algebra containing π’œ then there are an element __S__ ∈ ℳ︁ and a linear functional __f__ on π’œ such that __Ξ΄__ (__A__) = __SA__ – __AS__ + __f__ (__A__)__I__ fo