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(1995) Every separable Banach space is isometric to a space of continuous nowhere differentiable functions. Proceedings of the American Mathematical Society 123: pp. 3649-3654 Wheeden, R. L., Zygmund, A. (1977) Measure and Integral. Marcel Dekker, New York Yamanaka, T. (1989) A new higher order chain rule and Gevrey class. Annals of Global Analysis and Geometry 7: pp. 179-2030021-217210.1007/s11856-014-1104-1https://hdl.handle.net/20.500.14352/22986We 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.engjournal articlehttp://link.springer.com/article/10.1007/s11856-014-1104-1restricted access517Function-spacesBanach-spacesVector-spacesSetsSpaceabilityLineabilityPrevalenceSubspacesSubsetsEveryMatemáticas (Matemáticas)Análisis funcional y teoría de operadores12 Matemáticas