Metric and homogeneous structure of closed range operators
| dc.creator | Corach, Gustavo | |
| dc.creator | Maestripieri, Alejandra | |
| dc.creator | Mbekhta, Mostafa | |
| dc.date | 2005-09-14 | |
| dc.date.accessioned | 2026-07-07T05:23:12Z | |
| dc.date.available | 2026-07-07T05:23:12Z | |
| dc.description | Let $\CR$ be the set of all bounded linear operators between Hilbert spaces $\cH, \cK$. This paper is devoted to the study of the topological properties of $\CR$ if certain natural metrics are considered on it. We also define an action of the group $\G_\cH\times\G_\cK$ on $\CR$ and determine the orbits of this action. These orbits determine a stratification of the set of Fredholm and semi-Fredholm operators. Finally, we calculate the distance, with respect to some of the metrics mentioned above, between different orbits of $\CR$. | |
| dc.identifier | https://arxiv.org/abs/math/0509328 | |
| dc.identifier | http://arxiv.org/abs/math/0509328 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76345 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46C07; 47A62; 46C05 | |
| dc.title | Metric and homogeneous structure of closed range operators | |
| dc.type | text |