Additive mappings in algebras of unbounded operators preserving operators of rank one
| dc.creator | Timmermann, W. | |
| dc.date | 2004-05-28 | |
| dc.date | 2005-03-07 | |
| dc.date.accessioned | 2026-07-07T05:08:41Z | |
| dc.date.available | 2026-07-07T05:08:41Z | |
| dc.description | Let $ \mathcal D$ be a dense linear manifold in a Hilbert space $\mathcal H$ and let $L^+(\mathcal D)$ be the *-algebra of all linear operators $A$ such that $A \mathcal D \subset \mathcal D, A^* \mathcal D \subset \mathcal D$. Denote by $F(\mathcal D)$ the *-ideal of $L^+(\mathcal D)$ consisting of all finite-rank operators. A characterization of the structure of additive mappings of $F(\mathcal D)$ preserving operators of rank one or projections of rank one is given. The corresponding results for algebras of bounded operators on Banach spaces were given by P. uSemrl. | |
| dc.description | 7 pages The first version of the paper is replaced by this one, because in the first version the enumeration of the Theorems, Lemmas etc. were incorrect | |
| dc.identifier | https://arxiv.org/abs/math/0405545 | |
| dc.identifier | http://arxiv.org/abs/math/0405545 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71362 | |
| dc.subject | Operator Algebras | |
| dc.subject | 47L60 | |
| dc.title | Additive mappings in algebras of unbounded operators preserving operators of rank one | |
| dc.type | text |