TY - JOUR
T1 - Quasinilpotent operators in operator Lie algebras III
AU - Cao, Peng
PY - 2012/2/15
Y1 - 2012/2/15
N2 - 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.
AB - 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.
KW - E-solvable lie algebra
KW - Essentially nilpotent lie algebra
KW - Jacobson radical
UR - http://www.scopus.com/inward/record.url?scp=80053130029&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.08.034
DO - 10.1016/j.jmaa.2011.08.034
M3 - Article
AN - SCOPUS:80053130029
SN - 0022-247X
VL - 386
SP - 709
EP - 717
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -