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Aron, Richard M. and Conejero, Jose A. and Peris, Alfredo and Seoane-Sepúlveda, Juan B.
(2010)
*Uncountably Generated Algebras of Everywhere Surjective Functions.*
Bulletin of the Belgian Mathematical Society, 17
(3).
pp. 571-575.
ISSN 1370-1444

PDF
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Official URL: http://bms.ulb.ac.be/cgi/welcome.php

## Abstract

We show that there exists an uncountably generated algebra every non-zero element of which is an everywhere surjective function on C, that is, a function f : C -> C such that, for every non void open set U subset of C, f(U) = C.

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

Uncontrolled Keywords: | Lineability; paceability; Algebrability; Everywhere surjective functions. |

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

ID Code: | 19999 |

Deposited On: | 20 Feb 2013 18:25 |

Last Modified: | 28 Nov 2016 09:33 |

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