Perturbation of $l^1$-copies and measure convergence in preduals of von Neumann algebras
| dc.creator | Pfitzner, Hermann | |
| dc.date | 2000-03-24 | |
| dc.date.accessioned | 2026-07-07T04:34:25Z | |
| dc.date.available | 2026-07-07T04:34:25Z | |
| dc.description | Let L_1 be the predual of a von Neumann algebra with a finite faithful normal trace. We show that a bounded sequence in L_1 converges to 0 in measure if and only if each of its subsequences admits another subsequence which converges to 0 in norm or spans $l^1$ "almost isometrically". Furthermore we give a quantitative version of an essentially known result concerning the perturbation of a sequence spanning $l^1$ isomorphically in the dual of a C$^*$-algebra. | |
| dc.description | submitted to J. of Op. Th | |
| dc.identifier | https://arxiv.org/abs/math/0003152 | |
| dc.identifier | http://arxiv.org/abs/math/0003152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58895 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20, 46L05 | |
| dc.title | Perturbation of $l^1$-copies and measure convergence in preduals of von Neumann algebras | |
| dc.type | text |