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 | |
| 出版状态 | 已出版 - 5月 2007 |
| 已对外发布 | 是 |
指纹
探究 'Quasinilpotent operators in operator lie algebras' 的科研主题。它们共同构成独一无二的指纹。引用此
Cao, P., & Sun, S. (2007). Quasinilpotent operators in operator lie algebras. Integral Equations and Operator Theory, 58(1), 35-41. https://doi.org/10.1007/s00020-006-1474-9