Algebrability and nowhere Gevrey differentiability

Bastin, Françoise; Conejero, J. Alberto; Esser, Céline; Seoane Sepúlveda, Juan B.

doi:10.1007/s11856-014-1104-1

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Algebrability and nowhere Gevrey differentiability

Bastin, Françoise; Conejero, J. Alberto; Esser, Céline et al.

2015 • In Israel Journal of Mathematics, 205, p. 127–143

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/156598

DOI
10.1007/s11856-014-1104-1

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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

Available on ORBi :

since 30 September 2013

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