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Aizpuru, A. and Pérez-Eslava, C. and García-Pacheco, F.J.
(2008)
*Lineability and coneability of discontinuous functions on R.*
Publicationes Mathematicae, 72
(1-2).
pp. 129-139.
ISSN 0033-3883

Official URL: http://www.math.klte.hu/publi/index.php?p=10

## Abstract

We construct infinite dimensional vector spaces and positive cones of discontinuous functions on R enjoying some special properties, such as functions with an arbitrary F-sigma set of points of discontinuity, discontinuous Riemann-integrable functions, or functions having either jump or removable discontinuities at a given point. We show that these special phenomena occur more often than one could expect, i.e. in a linear or algebraic way.

Item Type: | Article |
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Uncontrolled Keywords: | Lineability; Coneability; Discontinuous functions; Set of points of discontinuity |

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

ID Code: | 20049 |

Deposited On: | 21 Feb 2013 15:54 |

Last Modified: | 21 Feb 2013 15:54 |

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