Show simple item record

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorESTERLE, Jean
dc.date.accessioned2024-04-04T02:23:11Z
dc.date.available2024-04-04T02:23:11Z
dc.date.created2012-09-15
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189713
dc.description.abstractEnH.G. Dales and the author showed independently that if the continuum hypothesis is assumed then discontinuous algebra norms do exist on C(K) for every compact space K, and it is known that every ideal I of C(K) which is closed with respect to such a norm is equal to the intersection of all closed prime ideals of C(K) containing I. The continuity ideal I(q) of a discontinuous algebra norm q on C(K) is the largest ideal I of C(K) such that the restriction of q to I is continuous. It is known that I(q) is the intersection of all elements of the set Prim(q) of nonmaximal prime ideals which are closed with respect to q. If K is an F-space, then Prim(q) is a finite union of chain of prime ideals, but Pham proved that this is not true in general. The purpose of the paper is to make some progress towards a complete description of the continuity ideals and of the sets Prim(q).
dc.language.isoen
dc.subject.enbanach algebra
dc.subject.encontinuum hypothesis
dc.subject.encontinuity ideal
dc.title.enClosed prime ideals for discontinuous algebra seminorms on C(K)
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00773356
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00773356v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ESTERLE,%20Jean&rft.genre=preprint


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record