Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups

DOI10.1090/S0002-9939-05-08205-5zbMath1079.43007MaRDI QIDQ5695750

Nico Spronk, Brian E. Forrest

Publication date: 6 October 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idealsapproximate identitieslocally compact groupsamenable groupsFourier algebra

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Ideals, maximal ideals, boundaries (46J20) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (2)

Spectral synthesis in Fourier algebras of ultrapherical hypergroups ⋮ Hypergroups and invariant complemented subspaces

Cites Work

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• The standard dual of an operator space
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• Non-Amenability of the Fourier Algebra of a Compact Group
• Complemented ideals in the Fourier algebra of a locally compact group
• On Ideals of A_p with Bounded Approximate Units and Certain Conditional Expectations
• The Operator Amenability of A(G)
• Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$
• L'algèbre de Fourier d'un groupe localement compact
• The Theory of p-Spaces with an Application to Convolution Operators
• Lectures on amenability

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