Haar negigeability of positive cones in Banach spaces
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ESTERLE, Jean | |
| hal.structure.identifier | Laboratoire de Mathématiques de Lens [LML] | |
| dc.contributor.author | MATHERON, Etienne | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MOREAU, P. | |
| dc.date.accessioned | 2024-04-04T03:20:29Z | |
| dc.date.available | 2024-04-04T03:20:29Z | |
| dc.date.created | 2014-09-23 | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0234-0852 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194589 | |
| dc.description.abstractEn | We discuss the Haar negligibility of the positive cone associated with a basic sequence in a separable Banach space. In particular, we show that up to equiva- lence, the canonical basis of c0 is the only normalized subsymmetric unconditional basic sequence whose positive cone is not Haar null, and the only normalized unconditional basic sequence whose positive cone contains a translate of every compact set. We also show that an unconditional basic sequence with a non-Haar null positive cone has to be c0-saturated in a very strong sense, and that every quotient of the space generated by such a sequence is c0-saturated. | |
| dc.language.iso | en | |
| dc.publisher | Nauka, Leningradskoe otdelenie | |
| dc.title.en | Haar negigeability of positive cones in Banach spaces | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Algebra i Analiz | |
| bordeaux.page | 32-68 | |
| bordeaux.volume | 27 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 05 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01067182 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.subject.it | Schauder base | |
| dc.subject.it | positive cone | |
| dc.subject.it | Gauss negligibility | |
| dc.subject.it | Haar negligibility | |
| dc.subject.it | Gauss negligibility. | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01067182v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Algebra%20i%20Analiz&rft.date=2015&rft.volume=27&rft.issue=05&rft.spage=32-68&rft.epage=32-68&rft.eissn=0234-0852&rft.issn=0234-0852&rft.au=ESTERLE,%20Jean&MATHERON,%20Etienne&MOREAU,%20P.&rft.genre=article |
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