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Derivations and nest algebras on Banach space

✍ Scribed by Mark Spivack

Book ID: 112885812
Publisher: The Hebrew University Magnes Press
Year: 1985
Tongue: English
Weight: 304 KB
Volume: 50
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02761400

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## 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