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

School of Mathematics and Statistics

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

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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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

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Quasinilpotent operators in operator Lie algebras III

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Keywords

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