Gámez Merino, José Luis and Muñoz-Fernández, Gustavo A. and Sánchez, V.M. and Seoane Sepúlveda, Juan Benigno
(2010)
*Sierpitski-Zygmund Functions and other Problems on Lineability.*
Proceedings of the American Mathematical Society, 138
(11).
pp. 3863-3876.
ISSN 0002-9939

## Abstract

We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monotone functions, and (iv) Sierpinski-Zygmund functions. The conclusions obtained on (i) and (iii) are improvements of some already known results.

Item Type: | Article |
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Uncontrolled Keywords: | Lineability; algebrability; everywhere surjective; nowhere monotone; approximately continuous; Pompeiu derivative |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16916 |

Deposited On: | 30 Oct 2012 08:52 |

Last Modified: | 14 Mar 2016 17:21 |

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