Almost contractive maps between $C^*$ -algebras with applications to Fourier algebras
Language
en
Article de revue
This item was published in
Journal of Functional Analysis. 2018-07, vol. 275, n° 1, p. 196 - 210
Elsevier
English 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 ...Read more >
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.Read less <
English Keywords
Homomorphisms of Fourier algebras
Algebras
Operator spaces
Origin
Hal imported