Characterizations of Nonlinear Lie Derivations of B(X)

Donghua Huo, Baodong Zheng and Hongyu Liu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: Let X be an infinite dimensional Banach space, and Φ : B(X) → B(X) is a nonlinear Lie derivation. Then Φ is the form δ + τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:245452

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