On the ideal structure of some Banach algebras related to convolution operators on \(L^{p}(G)\)

DOI10.1016/j.jfa.2004.02.011zbMath1062.43004OpenAlexW1967544089MaRDI QIDQ1888365

Mahmoud Filali, Antoine Derighetti, Mehdi Sangani Monfared

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.02.011

zbMATH Keywords

amenabilityminimal idealsmaximal regular ideals\(p\)-convolution operatorsgeneralized Fourier algebras

Mathematics Subject Classification ID

Ideals and subalgebras (46H10) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (7)

Representations of Banach algebras subordinate to topologically introverted spaces ⋮ Involutions and trivolutions in algebras related to second duals of group algebras ⋮ A modern look at algebras of operators on \(L^p\)-spaces ⋮ On ideals in the bidual of the Fourier algebra and related algebras ⋮ Extension of Fourier algebra homomorphisms to duals of algebras of uniformly continuous functionals ⋮ Finite-dimensional left ideals in the duals of introverted spaces ⋮ Ideal amenability of Banach algebras on locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An \(L^ p\)-version of a theorem of D. A. Raikov
• Arens regularity and discrete groups
• The \(C^ \ast\)-algebra generated by operators with compact support on a locally compact group
• An application of Littlewood-Paley theory in harmonic analysis
• Weak amenability of Banach algebras on locally compact groups
• Une généralisation de la notion de transformée de Fourier-Stieltjes
• Multipliers and ideals in second conjugate algebras related to locally compact groups
• Harmonic synthesis for subgroups
• The second conjugate space of a Banach algebra as an algebra
• On Minimal Ideals in Some Banach Algebras Associated with a Locally Compact Group
• Isometric Isomorphisms Between Banach Algebras Related to Locally Compact Groups
• Some results on $A_p(G)$ submodules of $PM_p(G)$
• On some spaces of linear functionals on the algebras $A_ p(G)$ for locally compact groups
• On the set of topologically invariant means on an algebra of convolution operators on 𝐿^{𝑝}(𝐺)
• Uniformly Continuous Functionals on the Fourier Algebra of Any Locally Compact Group
• The role of minimal idempotents in the representation theory of locally compact groups
• The Second Conjugate Algebra of the Fourier Algebra of a Locally Compact Group
• Amenability for discrete convolution semigroup algebras.
• The ideal structure of some Banach algebras
• On Ideals of A_p with Bounded Approximate Units and Certain Conditional Expectations
• L'algèbre de Fourier d'un groupe localement compact
• Ideals of Vector-Valued Functions
• Existence and Nonuniqueness of Invariant Means on ℒ ∞ ( ^ G   )
• The Theory of p-Spaces with an Application to Convolution Operators
• The Adjoint of a Bilinear Operation

This page was built for publication: On the ideal structure of some Banach algebras related to convolution operators on \(L^{p}(G)\)