Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Thiago R. Alves
Studia Mathematica, Tome 223 (2014), p. 157-167 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285909 
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     year = {2014},
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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 223 (2014) pp. 157-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-2-4/