Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Studia Mathematica, Tome 220 (2014) no. 2, pp. 157-167
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that if $U$ is a domain of existence in a separable Banach space, then the set of holomorphic functions on $U$ whose domain of existence is $U$ is lineable and algebrable.
Keywords:
domain existence separable banach space set holomorphic functions whose domain existence lineable algebrable
Affiliations des auteurs :
Thiago R. Alves 1
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author = {Thiago R. Alves},
title = {Lineability and algebrability of the set of holomorphic functions with a given domain of existence},
journal = {Studia Mathematica},
pages = {157--167},
publisher = {mathdoc},
volume = {220},
number = {2},
year = {2014},
doi = {10.4064/sm220-2-4},
language = {en},
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Thiago R. Alves. Lineability and algebrability of the set of holomorphic functions with a given domain of existence. Studia Mathematica, Tome 220 (2014) no. 2, pp. 157-167. doi: 10.4064/sm220-2-4
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