Amenability and bounded approximate identities in ideals of A(G)

zbMath0712.43002MaRDI QIDQ748812

Brian E. Forrest

Publication date: 1990

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally compact grouphomomorphismamenabilityFourier algebraclosed idealbounded approximate identity

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (23)

Amenability and Derivations of the Fourier Algebra ⋮ AMENABILITY AND ORLICZ FIGÀ-TALAMANCA HERZ ALGEBRAS ⋮ Characterization of closed ideals with bounded approximate identities in commutative Banach algebras, complemented subspaces of the group von Neumann algebras and applications ⋮ Cohen-Host type idempotent theorems for representations on Banach spaces and applications to Figà-Talamanca-Herz algebras ⋮ Analysis on semihypergroups: function spaces, homomorphisms and ideals ⋮ On invariant and natural projections ⋮ Closed ideals with bounded approximate identities in some Banach algebras ⋮ Ideals with bounded approximate identities in Fourier algebras. ⋮ Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$ ⋮ \(p\)-Fourier algebras on compact groups ⋮ Relative amenability ⋮ Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups ⋮ A bipolar property of subgroups and translation invariant closed convex subsets ⋮ Mean ergodic theorems for multipliers on Banach algebras ⋮ Some spectral properties of multipliers on commutative Banach algebras ⋮ Some Banach Algebras without Discontinuous Derivations ⋮ On the structure of ideals and multipliers: A unified approach ⋮ Fourier analysis on coset spaces ⋮ Ergodic properties of convolution operators in group algebras ⋮ A separation property of positive definite functions on locally compact groups and applications to Fourier algebras ⋮ Amenability and weak amenability of the Fourier algebra ⋮ Spectral synthesis and topologies on ideal spaces for Banach \(^{*}\)-algebras ⋮ Invariance and normality of projections in the dual of Banach algebras

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