Subspaces of $\displaystyle H^{p}$ linearly homeomorphic to $l^{p}.$
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AMAR, Eric | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CHEVREAU, Bernard | |
| hal.structure.identifier | Équations aux dérivées partielles, analyse [EDPA] | |
| dc.contributor.author | CHALENDAR, Isabelle | |
| dc.date.accessioned | 2024-04-04T03:14:24Z | |
| dc.date.available | 2024-04-04T03:14:24Z | |
| dc.date.created | 2016-02-11 | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0039-3223 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194054 | |
| dc.description.abstractEn | We present two fast constructions of weak*-copies of ℓ ∞ in H ∞ and show that such copies are necessarily weak*-complemented. Moreover, via a Paley-Wiener type of stability theorem for bases, a connection can be made in some cases between the two types of construction, via interpolating sequences (in fact these are at the basis of the second construction). Our approach has natural generalizations where H ∞ is replaced by an arbitrary dual space and ℓ ∞ by ℓ p (1 ≤ p ≤ ∞) relying on the notions of generalized interpolating sequence and bounded linear extension. An old (very simple but unpublished so far) construction of bases which are Besselian but not Hilbertian finds a natural place in this development. | |
| dc.language.iso | en | |
| dc.publisher | Instytut Matematyczny - Polska Akademii Nauk | |
| dc.subject.en | Besselian and Hilbertian bases | |
| dc.subject.en | H^p spaces | |
| dc.subject.en | interpolating sequences. | |
| dc.title.en | Subspaces of $\displaystyle H^{p}$ linearly homeomorphic to $l^{p}.$ | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Variables complexes [math.CV] | |
| dc.identifier.arxiv | 1607.02762 | |
| bordeaux.journal | Studia Mathematica | |
| bordeaux.page | pp. 233-253. | |
| bordeaux.volume | 248 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01343701 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01343701v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Studia%20Mathematica&rft.date=2019&rft.volume=248&rft.issue=3&rft.spage=pp.%20233-253.&rft.epage=pp.%20233-253.&rft.eissn=0039-3223&rft.issn=0039-3223&rft.au=AMAR,%20Eric&CHEVREAU,%20Bernard&CHALENDAR,%20Isabelle&rft.genre=article |
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