%0 Journal Article
%A Bastin, F.
%A Conejero, Jose A.
%A Esser, C.
%A Seoane-Sepúlveda, Juan B.
%T Algebrability and nowhere Gevrey differentiability
%D 2015
%@ 0021-2172
%U https://hdl.handle.net/20.500.14352/22986
%X 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.
%~