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Aron, R.M. and García-Pacheco, F.J. and Pérez García, David and Seoane-Sepúlveda, Juan B.
(2009)
*On dense-lineability of sets of functions on R.*
Topology, 48
(2-4).
pp. 149-156.
ISSN 0040-9383

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Restringido a Repository staff only 552kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0040938309000251

## Abstract

A subset M of a topological vector space X is said to be dense-lineable in X if there exists an infinite dimensional linear manifold in M boolean OR {0} and dense in X. We give sufficient conditions for a lineable set to be dense-lineable, and we apply them to prove the dense-lineability of several subsets of e[a, b]. We also develop some techniques to show that the set of differentiable nowhere monotone functions is dense-lineable in e[a, b]. Other results related to density and dense-lineability of sets in Banach spaces are also presented.

Item Type: | Article |
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Uncontrolled Keywords: | Dense-lineability; differentiable nowhere monotone functions |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 17714 |

Deposited On: | 16 Jan 2013 11:32 |

Last Modified: | 28 Nov 2016 08:20 |

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