arXiv:1109.3674 Abstract | arXiv Analytics

arXiv:1109.3674 [math.FA]Abstract References Reviews Resources

Algebrability, non-linear properties, and special functions

Artur Bartoszewicz, Szymon Glab, Daniel Pellegrino, Juan B. Seoane-Sepúlveda

Published 2011-09-16Version 1

We construct uncountably generated algebras inside the following sets of special functions: Sierpi\'nski-Zygmund functions, perfectly everywhere surjective functions and nowhere continuous Darboux functions. All conclusions obtained in this paper are improvements of some already known results.

Categories: math.FA

Keywords: special functions, non-linear properties, algebrability, construct uncountably generated algebras inside, continuous darboux functions

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