Lineability of the set of holomorphic mappings with dense range
Studia Mathematica, Tome 210 (2012) no. 2, pp. 177-188
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
Let $U$ be an open subset of a separable Banach space. Let $\mathcal{F}$ be the collection of all holomorphic mappings $f$ from the open unit disc
$\mathbb{D}\subset \mathbb{C}$ into $U$ such that $f( \mathbb{D}) $ is dense in $U$. We prove
the lineability and density of $\mathcal{F}$ in appropriate spaces for different choices of $U$.
Keywords:
subset separable banach space mathcal collection holomorphic mappings unit disc mathbb subset mathbb mathbb dense prove lineability density mathcal appropriate spaces different choices
Affiliations des auteurs :
Jerónimo López-Salazar 1
@article{10_4064_sm210_2_5,
author = {Jer\'onimo L\'opez-Salazar},
title = {Lineability of the set of holomorphic mappings with dense range},
journal = {Studia Mathematica},
pages = {177--188},
year = {2012},
volume = {210},
number = {2},
doi = {10.4064/sm210-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm210-2-5/}
}
Jerónimo López-Salazar. Lineability of the set of holomorphic mappings with dense range. Studia Mathematica, Tome 210 (2012) no. 2, pp. 177-188. doi: 10.4064/sm210-2-5
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