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^*

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	709-717
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	386
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.08.034
Publication status	Published - 15 Feb 2012
Externally published	Yes

Keywords

E-solvable lie algebra
Essentially nilpotent lie algebra
Jacobson radical

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10.1016/j.jmaa.2011.08.034

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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

Abstract

Keywords

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