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On Lie and associative algebras containing inner derivations

✍ Scribed by Matej Brešar; Špela Špenko


Book ID
113772311
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
292 KB
Volume
437
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


Lie triple derivations on nest algebras
✍ Fangyan Lu 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract Let __δ__ be a Lie triple derivation from a nest algebra 𝒜 into an 𝒜‐bimodule ℳ︁. We show that if ℳ︁ is a weak\* closed operator algebra containing 𝒜 then there are an element __S__ ∈ ℳ︁ and a linear functional __f__ on 𝒜 such that __δ__ (__A__) = __SA__ – __AS__ + __f__ (__A__)__I__ fo