Geodesic
Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Thiago R. Alves 1
1 IMECC - UNICAMP Rua Sérgio Buarque de Holanda, 651 13083-859 Campinas, SP, Brazil
Studia Mathematica, Tome 220 (2014) no. 2, pp. 157-167 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm220-2-4
Keywords: domain existence separable banach space set holomorphic functions whose domain existence lineable algebrable

Thiago R. Alves  1

1 IMECC - UNICAMP Rua Sérgio Buarque de Holanda, 651 13083-859 Campinas, SP, Brazil 
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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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