Weak$^*$ dentability index of spaces $C([0,\alpha])$
| hal.structure.identifier | Institute of Mathematics of the Czech Academy of Science [IM / CAS] | |
| dc.contributor.author | HAJEK, Petr | |
| hal.structure.identifier | Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB] | |
| dc.contributor.author | LANCIEN, Gilles | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PROCHAZKA, Antonin | |
| dc.date.accessioned | 2024-04-04T02:43:10Z | |
| dc.date.available | 2024-04-04T02:43:10Z | |
| dc.date.created | 2008 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191307 | |
| dc.description.abstractEn | We compute the weak$^*$-dentability index of the spaces $C(K)$ where $K$ is a countable compact space. Namely $\mbox{Dz}(C([0,\omega^{\omega^\alpha}])) = \omega^{1+\alpha+1}$, whenever $0\le\alpha<\omega_1$. More generally, $\mbox{Dz}(C(K))=\omega^{1+\alpha+1}$ if $K$ is a scattered compact whose height $\eta(K)$ satisfies $\omega^\alpha<\eta(K)\leq \omega^{\alpha+1}$ with an $\alpha$ countable. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Weak$^*$ dentability index of spaces $C([0,\alpha])$ | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jmaa.2008.11.075 | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 0901.0681 | |
| bordeaux.journal | Journal of Mathematical Analysis and Applications | |
| bordeaux.page | 239-243 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 353 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00350187 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00350187v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Analysis%20and%20Applications&rft.date=2009&rft.issue=353&rft.spage=239-243&rft.epage=239-243&rft.eissn=0022-247X&rft.issn=0022-247X&rft.au=HAJEK,%20Petr&LANCIEN,%20Gilles&PROCHAZKA,%20Antonin&rft.genre=article |
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