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García-Pacheco, F.J. and Rambla-Barreno, F. and Seoane-Sepúlveda, Juan B.
(2008)
*Q-linear functions, functions with dense graph, and everywhere surjectivity.*
Mathematica Scandinavica, 102
(1).
pp. 156-160.
ISSN 0025-5521

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Official URL: http://www.mscand.dk/article.php?id=3080

## Abstract

Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R. In this note, we show that the sets D \ (S boolean OR L), S \ L, S boolean AND L and D boolean AND L \ S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2(c).

Item Type: | Article |
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Uncontrolled Keywords: | Lineability |

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

ID Code: | 20044 |

Deposited On: | 21 Feb 2013 15:53 |

Last Modified: | 28 Nov 2016 08:56 |

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