Article ID Journal Published Year Pages File Type
4617768 Journal of Mathematical Analysis and Applications 2012 9 Pages PDF
Abstract

In this paper we investigate some properties of algebras generated by essentially nilpotent Lie algebras of operators. Especially, we consider conditions on a Lie algebra of operators that imply that the closed algebra generated by the Lie algebra is commutative modulo the radical. We also give an application to polynomially compact operators.

Related Topics
Physical Sciences and Engineering Mathematics Analysis