Quasinilpotent operators in operator Lie algebras III

Peng Cao

doi:10.1016/j.jmaa.2011.08.034

Quasinilpotent operators in operator Lie algebras III

Peng Cao^*

^*此作品的通讯作者

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	709-717
页数	9
期刊	Journal of Mathematical Analysis and Applications
卷	386
期	2
DOI	https://doi.org/10.1016/j.jmaa.2011.08.034
出版状态	已出版 - 15 2月 2012
已对外发布	是

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KW - E-solvable lie algebra

KW - Essentially nilpotent lie algebra

KW - Jacobson radical

UR - https://www.scopus.com/pages/publications/80053130029

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Quasinilpotent operators in operator Lie algebras III

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