Moment Formulas For The Quasi-Nilpotent DT-Operator
| dc.creator | Aagaard, L. | |
| dc.creator | Haagerup, U. | |
| dc.date | 2004-06-09 | |
| dc.date.accessioned | 2026-07-07T05:09:03Z | |
| dc.date.available | 2026-07-07T05:09:03Z | |
| dc.description | Let T be the quasi-nilpotent DT-operator. By use of Voiculescu's amalgamated R-transform we compute the moments of $(T-λ1)^*(T-λ1)$, where $λ\in \mathbb C$, and the Brown-measure of $T+\sqrtε Y$, where Y is a circular element *-free from T for $ε>0$. Moreover we give a new proof of Śniady's formula for the moments $τ(((T^*)^k T^k)^n)$ for $k,n\in \mathbb N$. | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406170 | |
| dc.identifier | http://arxiv.org/abs/math/0406170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71496 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54; 15A52 | |
| dc.title | Moment Formulas For The Quasi-Nilpotent DT-Operator | |
| dc.type | text |