On Fourier algebra homomorphisms

DOI10.1016/j.jfa.2004.04.013zbMath1052.43006OpenAlexW1979258206MaRDI QIDQ1882972

Monica Ilie

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.04.013

zbMATH Keywords

Fourier algebracompletely bounded homomorphismsFourier--Stieltjes algebrarange of homomorphisms

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Operator spaces and completely bounded maps (46L07) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Operator spaces (= matricially normed spaces) (47L25) (L^1)-algebras on groups, semigroups, etc. (43A20) Dual spaces of operator algebras (47L50)

Related Items (13)

Completely bounded homomorphisms of the Fourier algebra revisited ⋮ Cohen-Host type idempotent theorems for representations on Banach spaces and applications to Figà-Talamanca-Herz algebras ⋮ Idempotents of large norm and homomorphisms of Fourier algebras ⋮ On \(p\)-completely contractive homomorphisms of Figà-Talamanca-Herz algebras ⋮ Linear preservers on idempotents of Fourier algebras ⋮ Weak*- continuous homomorphisms of Fourier–Stieltjes algebras ⋮ Homomorphisms of convolution algebras ⋮ On the preservation of properties by piecewise affine maps of locally compact groups ⋮ A note on \(p\)-completely bounded homomorphisms of the Figà-Talamanca-Herz algebras ⋮ Completely bounded disjointness preserving operators between Fourier algebras ⋮ Extension of Fourier algebra homomorphisms to duals of algebras of uniformly continuous functionals ⋮ Homomorphisms of Fourier–Stieltjes algebras ⋮ Completely bounded homomorphisms of the Fourier algebras

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