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Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras
Langue
en
Article de revue
Ce document a été publié dans
Journal of Functional Analysis. 2018-07, vol. 275, n° 1, p. 196 - 210
Elsevier
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Homomorphisms of Fourier algebras
Algebras
Operator spaces
Origine
Importé de halUnités de recherche