A Remark on The Geometry of Spaces of ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
A Remark on The Geometry of Spaces of Functions with Prime Frequencies
Auteur(s) :
Lefèvre, Pascal [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Matheron, Etienne [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Ramaré, Olivier [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire de Mathématiques de Lens [LML]
Matheron, Etienne [Auteur]
Laboratoire de Mathématiques de Lens [LML]
Ramaré, Olivier [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Titre de la revue :
Acta Mathematica Hungarica
Pagination :
75-80
Éditeur :
Springer Verlag
Date de publication :
2014-06
ISSN :
0236-5294
Mot(s)-clé(s) en anglais :
Prime numbers
continuous functions
disk algebra
thin sets AMS
continuous functions
disk algebra
thin sets AMS
Discipline(s) HAL :
Mathématiques [math]/Analyse fonctionnelle [math.FA]
Résumé en anglais : [en]
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 ...
Lire la suite >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 $L^1$.Lire moins >
Lire la suite >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 $L^1$.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
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