Article ID Journal Published Year Pages File Type
4601120 Linear Algebra and its Applications 2012 20 Pages PDF
Abstract

Let N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a linear mapping. In this paper, it is proved that L is a Lie triple derivation if and only if there exist a derivation d:AlgN→B(X) and a linear mapping h:AlgN→CI with h([[X,Y],Z])=0 for any X,Y,Z∈AlgN such that L=d+h on AlgN.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory