RT Journal Article
T1 Algebrability and nowhere Gevrey differentiability
A1 Seoane Sepúlveda, Juan Benigno
A1 Bastin, F.
A1 Conejero, Jose A.
A1 Esser, C.
AB We show that there exist c-generated algebras (and dense in C ∞([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable 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 differentiable functions.
PB Hebrew University Magnes Press
SN 0021-2172
YR 2015
FD 2015-02
LK https://hdl.handle.net/20.500.14352/22986
UL https://hdl.handle.net/20.500.14352/22986
LA eng
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NO Programa de Investigación y Desarrollo de la UPV
NO Research Fellow from the Fonds National de la Recherche Scientifique
NO CNPq
DS Docta Complutense
RD 7 abr 2025