Completely bounded disjointness preserving operators between Fourier algebras
The author characterizes surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. He shows that such operators are given by weighted homomorphisms induced by piecewise affine proper maps. Moreover, uniqueness conditions for the decomposition of such operators in some special cases are discussed. Finally, the canonical cb-extension of such operators is proved.
scientific article; zbMATH DE number 5925569
scientific article