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Journal articles
Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras
Abstract : 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.
https://hal-normandie-univ.archives-ouvertes.fr/hal-01876526
Contributor : Éric Ricard <>
Submitted on : Tuesday, September 18, 2018 - 3:04:06 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
Contributor : Éric Ricard <>
Submitted on : Tuesday, September 18, 2018 - 3:04:06 PM
Last modification on : Monday, April 27, 2020 - 4:14:03 PM
