On algebras generated by inner derivations
| dc.creator | Shulman, Tatiana | |
| dc.creator | Shulman, Victor | |
| dc.date | 2008-01-31 | |
| dc.date | 2008-07-17 | |
| dc.date.accessioned | 2026-07-07T09:50:35Z | |
| dc.date.available | 2026-07-07T09:50:35Z | |
| dc.description | We look for an effective description of the algebra D_{Lie}(X,B) of operators on a bimodule X over an algebra B, generated by inner derivations. It is shown that in some important examples D_{Lie}(X,B) consists of all elementary operators x\to \sum_i a_ixb_i satisfying the conditions $\sum_i a_ib_i = \sum_i b_ia_i = 0. The Banach algebraic versions of these results are also obtained and applied to the description of closed Lie ideals in some Banach algebras, and to the proof of a density theorem for Lie algebras of operators on Hilbert space. | |
| dc.identifier | https://arxiv.org/abs/0801.4862 | |
| dc.identifier | http://arxiv.org/abs/0801.4862 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164991 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47L70; 46H25 | |
| dc.title | On algebras generated by inner derivations | |
| dc.type | text |