Varopoulos: Some remarks on $Q$-algebras

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Nicolas Th. Varopoulos
Some remarks on $Q$-algebras
Annales de l'institut Fourier, 22 no. 4 (1972), p. 1-11, doi: 10.5802/aif.432
Article PDF | Reviews MR 49 #3544 | Zbl 0235.46074

Résumé - Abstract

We study Banach algebras that are quotients of uniform algebras and we show in particular that the class is stable by interpolation. We also show that $\ell ^p$, $(1\le p \le \infty )$ are $Q$ algebras and that $A_n = {\frak Z}L^1({\bf Z};1+|n|^\alpha )$ is a $Q$-algebra if and only if $\alpha > 1/2$.

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