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Sur Certains Sous-Espaces De B P (G)

  • N. Lohoué (a1)

Extract

On étudie certains sous-espaces de l'algèbre de Banach Bp (G) des multiplicateurs de AP(G). On montre entre autres que l'espace des coefficients d'une représentation de G sur un espace Lp n'est pas nécessairement fermé dans Bp (G) à moins que p soit égal à deux.

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References

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1. Eymard, P., Séminaire N. Bourbaki, 22ème année 1969–70, exp. 367, nov. 1969.
2. Herz, C. S., The theory of p-spaces with an application to convolution operators, Trans. Amer. Math. Soc. 154, p. 69.
3. Lohoué, N., Atomisation d'opérateurs de convolution et algebres AP(G), Thèse à paraître.
4. Vilenkin, N., Fonctions spéciales et théorie de la représentation des groupes (Dunod, Paris 1969).
5. Rudin, W., Fourier Analysis on groups (Interscience Publishers, Mew York-London, 1962).
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Sur Certains Sous-Espaces De B P (G)

  • N. Lohoué (a1)

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