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Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras

hal.structure.identifierLaboratoire de Mathématiques Nicolas Oresme [LMNO]
dc.contributor.authorRICARD, Éric
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorROYDOR, Jean
dc.date.accessioned2024-04-04T03:05:13Z
dc.date.available2024-04-04T03:05:13Z
dc.date.issued2018-07
dc.identifier.issn0022-1236
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193224
dc.description.abstractEnWe prove that unital almost contractive maps between ⁎-algebras enjoy approximately certain properties of unital positive maps (such as selfadjointness or the Kadison–Schwarz inequality). Our main application is a description of almost contractive homomorphisms between Fourier algebras and Fourier–Stieltjes algebras: they are actually contractive if their norm is smaller than 1.00018. For surjective isomorphisms of Fourier algebras, the bound 1.0005 is sufficient in order to obtain an isometry.
dc.language.isoen
dc.publisherElsevier
dc.subject.enHomomorphisms of Fourier algebras
dc.subject.enAlgebras
dc.subject.enOperator spaces
dc.title.enAlmost contractive maps between $C^*$ -algebras with applications to Fourier algebras
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jfa.2017.11.012
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
bordeaux.journalJournal of Functional Analysis
bordeaux.page196 - 210
bordeaux.volume275
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01876526
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01876526v1
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