Quasinilpotent Operators in Operator Lie Algebras |
| |
| Authors: | Peng Cao Shanli Sun |
| |
| Institution: | (1) LMIB & Department of Mathematics, Beihang University, Beijing, 100083, China |
| |
| Abstract: | 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. |
| |
| Keywords: | Primary 47B48 Secondary 47L70 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
