Constructive approximation in de Branges-Rovnyak spaces
| hal.structure.identifier | Département de Mathématiques | |
| dc.contributor.author | EL-FALLAH, O | |
| hal.structure.identifier | Laboratoire Paul Painlevé - UMR 8524 [LPP] | |
| dc.contributor.author | FRICAIN, E | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | KELLAY, Karim | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | MASHREGHI, J | |
| hal.structure.identifier | Département de Mathématiques et de Statistiques | |
| dc.contributor.author | RANSFORD, T. | |
| dc.date.accessioned | 2024-04-04T03:17:54Z | |
| dc.date.available | 2024-04-04T03:17:54Z | |
| dc.date.issued | 2016-09-21 | |
| dc.identifier.issn | 0176-4276 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194350 | |
| dc.description.abstractEn | In most classical holomorphic function spaces on the unit disk, a function $f$ can be approximated in the norm of the space by its dilates $f_r(z):=f(rz)~(r < 1)$.We show that this is \emph{not} the case for the de Branges--Rovnyak spaces $\cH(b)$. More precisely, we give an example of a non-extreme point $b$ of the unit ball of $H^\infty$ and a function $f\in\cH(b)$ such that $\lim_{r\to1^-}\|f_r\|_{\cH(b)}=\infty$.It is known that, if $b$ is a non-extreme point of the unit ball of $H^\infty$, then polynomials are dense in $\cH(b)$. We give the first constructive proof of this fact. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Constructive approximation in de Branges-Rovnyak spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| bordeaux.journal | Constructive Approximation | |
| bordeaux.page | 269-281 | |
| bordeaux.volume | 44 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01102509 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01102509v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Constructive%20Approximation&rft.date=2016-09-21&rft.volume=44&rft.issue=2&rft.spage=269-281&rft.epage=269-281&rft.eissn=0176-4276&rft.issn=0176-4276&rft.au=EL-FALLAH,%20O&FRICAIN,%20E&KELLAY,%20Karim&MASHREGHI,%20J&RANSFORD,%20T.&rft.genre=article |
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