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Algebrability and nowhere Gevrey differentiability

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Bastin, F. and Conejero, Jose A. and Esser, C. and Seoane-Sepúlveda, Juan B. (2015) Algebrability and nowhere Gevrey differentiability. Israel Journal of mathematics, 205 (1). pp. 127-143. ISSN 0021-2172

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Official URL: http://link.springer.com/article/10.1007/s11856-014-1104-1



Abstract

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.


Item Type:Article
Subjects:Sciences > Mathematics
ID Code:29129
Deposited On:10 Mar 2015 09:26
Last Modified:25 Nov 2016 12:23

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