Completely bounded disjointness preserving operators between Fourier algebras

DOI10.1016/j.jmaa.2011.04.062zbMath1225.43004OpenAlexW2069210633MaRDI QIDQ549779

Ying-Fen Lin

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.062

zbMATH Keywords

Fourier algebradisjointness preserving operatorcompletely bounded operatorpiecewise affine map

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Analysis on specific locally compact and other abelian groups (43A70) Linear operators in algebras (47C05)

Related Items (5)

Orthogonally additive and multiplicative maps between Figá-Talamanca-Herz algebras ⋮ On \(p\)-completely contractive homomorphisms of Figà-Talamanca-Herz algebras ⋮ Orthogonality preserving linear maps on group algebras ⋮ Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups ⋮ Linear maps on group algebras determined by the action of the derivations or anti-derivations on a set of orthogonal elements

Cites Work

• Unnamed Item
• On Fourier algebra homomorphisms
• Some results on the Fourier-Stieltjes algebra of a locally compact group
• Completely bounded homomorphisms of the Fourier algebras
• Amenability and weak amenability of the Fourier algebra
• On Homomorphisms of Group Algebras
• Weak*- continuous homomorphisms of Fourier–Stieltjes algebras
• Maps preserving zero products
• Le théorème des idempotents dans $B(G)$
• Automatic continuity of certain isomorphisms between regular Banach function algebras
• Disjointness preserving mappings between Fourier algebras
• L'algèbre de Fourier d'un groupe localement compact

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