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Aron, Richard M. and Seoane-Sepúlveda, Juan B.
(2007)
*Algebrability of the set of everywhere surjective functions on C.*
Bulletin of the Belgian Mathematical Society-Simon Stevin, 14
(1).
pp. 25-31.
ISSN 1370-1444

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Restringido a Repository staff only 146kB |

Official URL: http://projecteuclid.org/euclid.bbms/1172852242

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http://projecteuclid.org | Organisation |

## Abstract

We show that the set L of complex-valued everywhere surjective functions on C is aJgebrable. Specifically, L contains an infinitely generated algebra every non-zero element of which is everywhere surjective. We also give a technique to construct, for every n is an element of N, n algebraically independent everywhere surjective functions, f(1), f(2),..., f(n), so that for every non-constant polynomial P is an element of C[z(1), z(2),...,z(n)], P(f(1), f(2),...f(n)) is also everywhere surjective.

Item Type: | Article |
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Additional Information: | Dedicated to the memory of our great friend and colleague, Vladimir Gurariy. |

Uncontrolled Keywords: | Lineability; Spaceability; Algebrability; Everywhere surjective functions |

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

ID Code: | 20081 |

Deposited On: | 22 Feb 2013 14:29 |

Last Modified: | 25 Nov 2016 12:26 |

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