no. 4
Some remarks on Q-algebras
Annales de l'Institut Fourier, Tome 22 (1972) no. 4, pp. 1-11

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 ℓ p , (1≤p≤∞) are Q algebras and that A n =ℨL 1 (Z;1+|n| α ) is a Q-algebra if and only if α>1/2.

On fait une étude des algèbres qui sont des quotients des algèbres uniformes et on démontre que cette classe est stable par interpolation. On démontre en particulier que le ℓ p , (1≤p≤∞) appartiennent à cette classe et que A n =ℨL 1 (Z;1+|n| α ) appartient à cette classe si et seulement si α>1/2.

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     title = {Some remarks on $Q$-algebras},
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Varopoulos, Nicolas Th. Some remarks on $Q$-algebras. Annales de l'Institut Fourier, Tome 22 (1972) no. 4, pp. 1-11. doi: 10.5802/aif.432

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[4] A. P. Calderon, Intermediate spaces and interpolation, the complex method. Studia Math., T. xxiv (1964), 113-190. | Zbl | MR

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[6] A. Zygmund, Trigonometric series, C.I.P. (1959), vol. I, ch. VI, § 3 ; vol. II, ch. XII § 8. | Zbl

[7] N. Th. Varopoulos, Sur les quotients des algèbres uniformes, C.R. Acad. Sci. t. 274 (A) p. 1344-1346. | Zbl

[8] N. Th. Varopoulos, Tensor algebras over discrete spaces, J. Functional Analysis, 3 (1969), 321-335. | Zbl | MR

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