Mazur intersection property for Asplund spaces

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dc.creatorBacak, Miroslav
dc.creatorHajek, Petr
dc.date2008-04-03
dc.date.accessioned2026-07-07T09:30:08Z
dc.date.available2026-07-07T09:30:08Z
dc.descriptionThe main result of the present note states that it is consistent with the ZFC axioms of set theory (relying on Martin's Maximum MM axiom), that every Asplund space of density character $ω_1$ has a renorming with the Mazur intersection property. Combined with the previous result of Jim\' enez and Moreno (based upon the work of Kunen under the continuum hypothesis) we obtain that the MIP normability of Asplund spaces of density $ω_1$ is undecidable in ZFC.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/0804.0583
dc.identifierhttp://arxiv.org/abs/0804.0583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158031
dc.subjectFunctional Analysis
dc.subject46B03
dc.titleMazur intersection property for Asplund spaces
dc.typetext

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