Commutants of nest algebras modulo the compact operators |
| |
| Authors: | Erik Christensen Costel Peligrad |
| |
| Institution: | 1. Matematiske Institut, K?benhavns Universitets, Universitetsparken 5, 2100, K?benhavn ?, Danmark
2. Department of Mathematics, INCREST, Bd. P?cii 220, 77538, Bucharest, Romania
|
| |
| Abstract: | Any operatorx which commutes modulo the compact operators with a nest algebra is of the form λI+C, where λ is a scalar andC is a compact operator. Any derivation from a nest algebra on a Hilbert spaceH into the compact operators onH is implemented by a compact operator. Any derivation on a quasitriangular operator algebra is inner. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
