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

数学学院

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

访问文件

10.1016/j.jmaa.2011.08.034

其它文件与链接

链接到 Scopus 的出版物

引用此

Cao, P. (2012). Quasinilpotent operators in operator Lie algebras III. Journal of Mathematical Analysis and Applications, 386(2), 709-717. https://doi.org/10.1016/j.jmaa.2011.08.034

@article{59701c023b0244e88e184cad5c0156b4,

title = "Quasinilpotent operators in operator Lie algebras III",

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.",

keywords = "E-solvable lie algebra, Essentially nilpotent lie algebra, Jacobson radical",

author = "Peng Cao",

year = "2012",

month = feb,

day = "15",

doi = "10.1016/j.jmaa.2011.08.034",

language = "English",

volume = "386",

pages = "709--717",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Quasinilpotent operators in operator Lie algebras III

AU - Cao, Peng

PY - 2012/2/15

Y1 - 2012/2/15

N2 - 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.

AB - 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.

KW - E-solvable lie algebra

KW - Essentially nilpotent lie algebra

KW - Jacobson radical

UR - http://www.scopus.com/inward/record.url?scp=80053130029&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2011.08.034

DO - 10.1016/j.jmaa.2011.08.034

M3 - Article

AN - SCOPUS:80053130029

SN - 0022-247X

VL - 386

SP - 709

EP - 717

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Quasinilpotent operators in operator Lie algebras III

摘要

访问文件

其它文件与链接

指纹

引用此