Characterizations of Nonlinear Lie Derivations of B(X). (26th March 2013)

• Record Type: Journal Article
• Authors: Huo, Donghua; Zheng, Baodong; Liu, Hongyu
• Other Names: Zhang Chunrui Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-03-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/245452
• Languages: English
• ISSNs: 1085-3375

Abstract

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 Z B ( X ), which maps commutators into the zero.