Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras
hal.structure.identifier | Laboratoire de Mathématiques Nicolas Oresme [LMNO] | |
dc.contributor.author | RICARD, Éric | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ROYDOR, Jean | |
dc.date.accessioned | 2024-04-04T03:05:13Z | |
dc.date.available | 2024-04-04T03:05:13Z | |
dc.date.issued | 2018-07 | |
dc.identifier.issn | 0022-1236 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193224 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | Elsevier | |
dc.subject.en | Homomorphisms of Fourier algebras | |
dc.subject.en | Algebras | |
dc.subject.en | Operator spaces | |
dc.title.en | Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1016/j.jfa.2017.11.012 | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
bordeaux.journal | Journal of Functional Analysis | |
bordeaux.page | 196 - 210 | |
bordeaux.volume | 275 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 1 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01876526 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01876526v1 | |
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