Invariant subspaces of the quasinilpotent DT-operator
| dc.creator | Dykema, Ken | |
| dc.creator | Haagerup, Uffe | |
| dc.date | 2003-01-11 | |
| dc.date.accessioned | 2026-07-07T04:54:24Z | |
| dc.date.available | 2026-07-07T04:54:24Z | |
| dc.description | We previously introduced the class of DT--operators, which are modeled by certain upper triangular random matrices, and showed that if the spectrum of a DT-operator is not reduced to a single point, then it has a nontrivial, closed, hyperinvariant subspace. In this paper, we prove that also every DT-operator whose spectrum is concentrated on a single point has a nontrivial, closed, hyperinvariant subspace. In fact, each such operator has a one-parameter family of them. It follows that every DT-operator generates the von Neumann algebra L(F_2) of the free group on two generators. | |
| dc.identifier | https://arxiv.org/abs/math/0301112 | |
| dc.identifier | http://arxiv.org/abs/math/0301112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66235 | |
| dc.subject | Operator Algebras | |
| dc.title | Invariant subspaces of the quasinilpotent DT-operator | |
| dc.type | text |