A Remark on The Geometry of Spaces of Functions with Prime Frequencies
Résumé
We prove that the space of continuous functions whose frequencies are products of $r$ powers of primes numbers, contains some complemented copies of $\ell_1$ hence is far from being isomorphic to the whole space of continuous functions, or to the disc algebra. Actually, our results are more general and may be written in some other frameworks, like the space $L^1$.
Domaines
Analyse fonctionnelle [math.FA]Origine | Fichiers produits par l'(les) auteur(s) |
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