Lie algebras generated by Jordan operators

• Autorzy: Peng Cao , Shanli Sun
• Języki publikacji: EN

Abstrakty

EN

It is proved that if $J_{i}$ is a Jordan operator on a Hilbert space with the Jordan decomposition $J_{i} = N_{i} + Q_{i}$, where $N_{i}$ is normal and $Q_{i}$ is compact and quasinilpotent, i = 1,2, and the Lie algebra generated by J₁,J₂ is an Engel Lie algebra, then the Banach algebra generated by J₁,J₂ is an Engel algebra. Some results for normal operators and Jordan operators on Banach spaces are given.

Kategorie tematyczne

• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47B47: Commutators, derivations, elementary operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 186
• Numer: 3
• Strony: 267-274

Daty

wydano

2008

Twórcy

autor

Peng Cao

• Department of Mathematics, Beijing Institute of Technology, Beijing, China, 100081

autor

Shanli Sun

• LMIB & Department of Mathematics, Beihang University, Beijing, China, 100083

Identyfikatory

DOI

10.4064/sm186-3-5