C*-algebras and numerical linear algebra
| dc.creator | Arveson, William | |
| dc.date | 1992-11-22 | |
| dc.date | 1993-01-18 | |
| dc.date.accessioned | 2026-07-07T08:59:14Z | |
| dc.date.available | 2026-07-07T08:59:14Z | |
| dc.description | We consider problems associated with the computation of spectra of self-adjoint operators in terms of the eigenvalue distributions of their n x n sections. Under rather general circumstances, we show how these eigenvalues accumulate near points of the essential spectrum of the given operator, and we prove that their averages converge to a measure concentrated precisely on the essential spectrum. In the primary cases of interest, namely the discretized Hamiltonians of one-dimensional quantum systems, this limiting measure is associated with a tracial state on a certain simple C*-algebra. These results have led us to conclude that one must view this kind of numerical analysis in the context of C*-algebras. | |
| dc.description | 24 pages, AMS-TeX 2.1 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9211002 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9211002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147638 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | C*-algebras and numerical linear algebra | |
| dc.type | text |