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Lie triple derivations of nest algebras on Banach spaces

✍ Scribed by Shanli Sun; Xuefeng Ma


Book ID
113772218
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
376 KB
Volume
436
Category
Article
ISSN
0024-3795

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Lie triple derivations on nest algebras
✍ Fangyan Lu πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## 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

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