Article (Scientific journals)
Algebrability and nowhere Gevrey differentiability
Bastin, Françoise; Conejero, J. Alberto; Esser, Céline et al.
2015In Israel Journal of Mathematics, 205, p. 127–143
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Keywords :
Lineability; Algebrability; Nowhere Gevrey differentiable functions
Abstract :
[en] We show that there exist c-generated algebras (and dense in C^infty([0,1])) every nonzero element of which is a nowhere Gevrey diff erentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying this property. In the process of proving these results we also provide a new construction of nowhere Gevrey di fferentiable functions.
Disciplines :
Mathematics
Author, co-author :
Bastin, Françoise ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Conejero, J. Alberto
Esser, Céline  ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Seoane Sepúlveda, Juan B.
Language :
English
Title :
Algebrability and nowhere Gevrey differentiability
Publication date :
2015
Journal title :
Israel Journal of Mathematics
ISSN :
0021-2172
eISSN :
1565-8511
Publisher :
Springer, Israel
Volume :
205
Pages :
127–143
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]
Available on ORBi :
since 30 September 2013

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