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Uncountably Generated Algebras of Everywhere Surjective Functions

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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

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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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