Lineability and algebrability of the set of holomorphic functions with a given domain of existence
Studia Mathematica (2014)
- Volume: 220, Issue: 2, page 157-167
- ISSN: 0039-3223
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topThiago R. Alves. "Lineability and algebrability of the set of holomorphic functions with a given domain of existence." Studia Mathematica 220.2 (2014): 157-167. <http://eudml.org/doc/285909>.
@article{ThiagoR2014,
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.},
author = {Thiago R. Alves},
journal = {Studia Mathematica},
keywords = {Banach space; holomorphic function; domain of existence; lineable set; algebrable set},
language = {eng},
number = {2},
pages = {157-167},
title = {Lineability and algebrability of the set of holomorphic functions with a given domain of existence},
url = {http://eudml.org/doc/285909},
volume = {220},
year = {2014},
}
TY - JOUR
AU - Thiago R. Alves
TI - Lineability and algebrability of the set of holomorphic functions with a given domain of existence
JO - Studia Mathematica
PY - 2014
VL - 220
IS - 2
SP - 157
EP - 167
AB - 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.
LA - eng
KW - Banach space; holomorphic function; domain of existence; lineable set; algebrable set
UR - http://eudml.org/doc/285909
ER -
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