Amenability and the Structure of the Algebras A p (G)

DOI10.2307/2154531zbMath0804.43001OpenAlexW4231391141MaRDI QIDQ4300933

Brian E. Forrest

Publication date: 28 November 1994

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

Full work available at URL: https://doi.org/10.2307/2154531

zbMATH Keywords

Banach algebralocally compact groupamenabilityamenable Banach algebrasFourier algebraalmost connected groupbounded approximate identityBanach \(A_ p(G)\)-bimodule

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (9)

Hyper-Tauberian algebras and weak amenability of Figà-Talamanca-Herz algebras ⋮ AMENABILITY AND ORLICZ FIGÀ-TALAMANCA HERZ ALGEBRAS ⋮ Cohen-Host type idempotent theorems for representations on Banach spaces and applications to Figà-Talamanca-Herz algebras ⋮ Amenability, weak amenability and bounded approximate identities in multipliers of the Fourier algebra ⋮ Power boundedness in Fourier and Fourier-Stieltjes algebras and other commutative 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 $A_{p}(G)$ ⋮ On the density of the Fourier-Stieltjes algebra ⋮ Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group

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