Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Volume 220 / 2014
Studia Mathematica 220 (2014), 157-167
MSC: Primary 46G20, 46J10; Secondary 15A03.
DOI: 10.4064/sm220-2-4
Abstract
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.
