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Aron, Richard M. and Pérez García, David and Seoane-Sepúlveda, Juan B.
(2006)
*Algebrability of the set of non-convergent Fourier series.*
Studia Mathematica, 175
(1).
pp. 83-90.
ISSN 0039-3223

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Official URL: http://webmail.impan.gov.pl/cgi-bin/sm/pdf?sm175-1-05

## Abstract

We show that, given a set E subset of T of measure zero, the set of continuous functions whose Fourier series expansion is divergent at any point t is an element of E is dense-algebrable, i.e. there exists an infinite-dimensional, infinitely generated dense subalgebra, of C(T) every non-zero element of which has a Fourier series expansion divergent in E.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Fourier series; Divergent series; Lineability; Spaceability; Algebrability |

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

ID Code: | 20214 |

Deposited On: | 04 Mar 2013 15:34 |

Last Modified: | 25 Nov 2016 12:26 |

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