J4 ›› 2013, Vol. 48 ›› Issue (8): 41-44.
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LIU Dan, ZHANG Jian-hua*
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Abstract:
Let X be a Banach space with dim X>1, and ξ≠±1。 In this paper, we show that if a linear map φ:B(X)→B(X) satisfies φ([A,B]ξ)=[φ(A),B]ξ+[A,φ(B)]ξ for all A,B∈B(X) with ABA=A, then φ is a derivation.
Key words: Banach space; ξ-Lie derivation; derivation
LIU Dan, ZHANG Jian-hua*. Characterizations of ξ-Lie derivations of B(X)[J].J4, 2013, 48(8): 41-44.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2013/V48/I8/41
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