Quasinilpotent operators in operator lie algebras

Peng Cao; Shanli Sun

doi:10.1007/s00020-006-1474-9

Quasinilpotent operators in operator lie algebras

Peng Cao^*
, Shanli Sun

^*此作品的通讯作者

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

It is proved that the nilpotent Lie algebra generated by a family of decomposable operators generates an Engel- Banach algebra. We also proved that if a Lie algebra of quasinilpotent operators is essentially nilpotent, then the Banach algebra generated by this Lie algebra consists of quasinilpotent operators.

源语言	英语
页（从-至）	35-41
页数	7
期刊	Integral Equations and Operator Theory
卷	58
期	1
DOI	https://doi.org/10.1007/s00020-006-1474-9
出版状态	已出版 - 5月 2007
已对外发布	是

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KW - Quasinilpotent operator

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Quasinilpotent operators in operator lie algebras

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