Singular Traces and Compact Operators. I
| dc.creator | Albeverio, S. | |
| dc.creator | Guido, D. | |
| dc.creator | Ponosov, A. | |
| dc.creator | Scarlatti, S. | |
| dc.date | 1993-08-09 | |
| dc.date.accessioned | 2026-07-07T09:13:25Z | |
| dc.date.available | 2026-07-07T09:13:25Z | |
| dc.description | We give a necessary and sufficient condition on a positive compact operator $T$ for the existence of a singular trace (i.e. a trace vanishing on the finite rank operators) which takes a finite non-zero value on $T$. This generalizes previous results by Dixmier and Varga. We also give an explicit description of these traces and associated ergodic states on $\ell^\infty(\Bbb N)$ using tools of non standard analysis in an essential way. | |
| dc.description | 20 pages, AMS TeX, SFB 237-Preprint Nr.180-May 93 | |
| dc.identifier | https://arxiv.org/abs/funct-an/9308001 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9308001 | |
| dc.identifier | Journ. Funct. Analysis, 137 (1996), 281-302. | |
| dc.identifier | doi:10.1006/jfan.1996.0047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152321 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Singular Traces and Compact Operators. I | |
| dc.type | text |