Brown Measures of Unbounded Operators Affiliated with a Finite von Neumann Algebra
| dc.creator | Haagerup, Uffe | |
| dc.creator | Schultz, Hanne | |
| dc.date | 2006-05-10 | |
| dc.date.accessioned | 2026-07-07T07:14:05Z | |
| dc.date.available | 2026-07-07T07:14:05Z | |
| dc.description | In this paper we generalize Brown's spectral distribution measure to a large class of unbounded operators affiliated with a finite von Neumann algebra. Moreover, we compute the Brown measure of all unbounded R-diagonal operators in this class. As a particular case, we determine the Brown measure of z=xy^{-1}, where (x,y) is a circular system in the sense of Voiculescu, and we prove that for all positive integers n, z^n is in L^p(M) iff 0<p< 2/(n+1). | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605251 | |
| dc.identifier | http://arxiv.org/abs/math/0605251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112725 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54; 47C15; 60B99 | |
| dc.title | Brown Measures of Unbounded Operators Affiliated with a Finite von Neumann Algebra | |
| dc.type | text |