Abstract and Applied Analysis
Volume 2013 (2013), Article ID 245452, 7 pages
http://dx.doi.org/10.1155/2013/245452
Research Article

Characterizations of Nonlinear Lie Derivations of

Donghua Huo,1,2 Baodong Zheng,1 and Hongyu Liu2

1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
2Department of Mathematics, Mudanjiang Normal College, Mudanjiang 157012, China

Received 25 December 2012; Accepted 3 February 2013

Academic Editor: Chunrui Zhang

Copyright © 2013 Donghua Huo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let be an infinite dimensional Banach space, and is a nonlinear Lie derivation. Then Φ is the form where is an additive derivation of and is a map from into its center , which maps commutators into the zero.