Lie Ideals in Operator Algebras
| dc.creator | Hopenwasser, Alan | |
| dc.creator | Paulsen, Vern | |
| dc.date | 2002-11-21 | |
| dc.date.accessioned | 2026-07-07T04:53:11Z | |
| dc.date.available | 2026-07-07T04:53:11Z | |
| dc.description | Let $\mathcal A$ be a Banach algebra for which the group of invertible elements is connected. A subspace $\mathcal L \subseteq \mathcal A$ is a Lie ideal in $\mathcal A$ if, and only if, it is invariant under inner automorphisms. This applies, in particular, to any canonical subalgebra of an AF \ensuremath{\text{C}^{*}}-algebra. The same theorem is also proven for strongly closed subspaces of a totally atomic nest algebra whose atoms are ordered as a subset of the integers and for CSL subalgebras of such nest algebras. We also give a detailed description of the structure of a Lie ideal in any canonical triangular subalgebra of an AF \ensuremath{\text{C}^{*}}-algebra. | |
| dc.description | LaTeX; approx. 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0211347 | |
| dc.identifier | http://arxiv.org/abs/math/0211347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65748 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L40 | |
| dc.title | Lie Ideals in Operator Algebras | |
| dc.type | text |