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Haar negigeability of positive cones in Banach spaces

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorESTERLE, Jean
hal.structure.identifierLaboratoire de Mathématiques de Lens [LML]
dc.contributor.authorMATHERON, Etienne
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMOREAU, P.
dc.date.accessioned2024-04-04T03:20:29Z
dc.date.available2024-04-04T03:20:29Z
dc.date.created2014-09-23
dc.date.issued2015
dc.identifier.issn0234-0852
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194589
dc.description.abstractEnWe 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.isoen
dc.publisherNauka, Leningradskoe otdelenie
dc.title.enHaar negigeability of positive cones in Banach spaces
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalAlgebra i Analiz
bordeaux.page32-68
bordeaux.volume27
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue05
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01067182
hal.version1
hal.popularnon
hal.audienceInternationale
dc.subject.itSchauder base
dc.subject.itpositive cone
dc.subject.itGauss negligibility
dc.subject.itHaar negligibility
dc.subject.itGauss negligibility.
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01067182v1
bordeaux.COinSctx_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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