On Ideals of Ap with Bounded Approximate Units and Certain Conditional Expectations

DOI10.1112/jlms/s2-47.3.497zbMath0788.43003OpenAlexW1965800121MaRDI QIDQ4711243

Jacques Delaporte, Antoine Derighetti

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-47.3.497

zbMATH Keywords

conditional expectationapproximate unitsclosed idealsabelian locally compact groupclosed normal subgroupamenable locally compact groupFigà-Talamanca Herz algebra\(p\)- pseudomeasures

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07) (L^1)-algebras on groups, semigroups, etc. (43A20) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (3)

On the ideal structure of some Banach algebras related to convolution operators on \(L^{p}(G)\) ⋮ Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$ ⋮ Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups

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