Boundedness and surjectivity in Banach spaces
| dc.creator | Nygaard, Olav | |
| dc.date | 2000-09-04 | |
| dc.date.accessioned | 2026-07-07T04:37:10Z | |
| dc.date.available | 2026-07-07T04:37:10Z | |
| dc.description | We define the ($w^\ast$-) boundedness property and the ($w^\ast$-) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category-like property called ($w^\ast$-) thickness. We give examples of interesting sets having or not having these properties. In particular, we prove that the tensor product of two $w^\ast$-thick sets in $\Xastast$ and $\Yast$ is a $w^\ast$-thick subset in $L(X,Y)^\ast$ and obtain as a concequense that the set $w^\ast -exp\:B_{K(l_2)^\ast}$ is $w^\ast$-thick. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009034 | |
| dc.identifier | http://arxiv.org/abs/math/0009034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59855 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20 | |
| dc.title | Boundedness and surjectivity in Banach spaces | |
| dc.type | text |