Weak$^*$ dentability index of spaces $C([0,α])$
| dc.creator | Hajek, Petr | |
| dc.creator | Lancien, Gilles | |
| dc.creator | Prochazka, Antonin | |
| dc.date | 2009-01-06 | |
| dc.date.accessioned | 2026-07-07T12:27:45Z | |
| dc.date.available | 2026-07-07T12:27:45Z | |
| dc.description | We compute the weak$^*$-dentability index of the spaces $C(K)$ where $K$ is a countable compact space. Namely ${Dz}(C([0,ω^{ω^α}])) = ω^{1+α+1}$, whenever $0\leα<ω_1$. More generally, ${Dz}(C(K))=ω^{1+α+1}$ if $K$ is a scattered compact whose height $η(K)$ satisfies $ω^α<η(K)\leq ω^{α+1}$ with an $α$ countable. | |
| dc.identifier | https://arxiv.org/abs/0901.0681 | |
| dc.identifier | http://arxiv.org/abs/0901.0681 | |
| dc.identifier | Journal of Mathematical Analysis and applications, 353 (2009) 239-243 | |
| dc.identifier | doi:10.1016/j.jmaa.2008.11.075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215316 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20, 46B03, 46E15 | |
| dc.title | Weak$^*$ dentability index of spaces $C([0,α])$ | |
| dc.type | text |