Lineability of the set of holomorphic mappings with dense range
Studia Mathematica (2012)
- Volume: 210, Issue: 2, page 177-188
- ISSN: 0039-3223
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topJerónimo López-Salazar. "Lineability of the set of holomorphic mappings with dense range." Studia Mathematica 210.2 (2012): 177-188. <http://eudml.org/doc/285674>.
@article{JerónimoLópez2012,
abstract = {Let U be an open subset of a separable Banach space. Let ℱ be the collection of all holomorphic mappings f from the open unit disc 𝔻 ⊂ ℂ into U such that f(𝔻) is dense in U. We prove the lineability and density of ℱ in appropriate spaces for different choices of U.},
author = {Jerónimo López-Salazar},
journal = {Studia Mathematica},
keywords = {holomorphic functions; lineability},
language = {eng},
number = {2},
pages = {177-188},
title = {Lineability of the set of holomorphic mappings with dense range},
url = {http://eudml.org/doc/285674},
volume = {210},
year = {2012},
}
TY - JOUR
AU - Jerónimo López-Salazar
TI - Lineability of the set of holomorphic mappings with dense range
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 2
SP - 177
EP - 188
AB - Let U be an open subset of a separable Banach space. Let ℱ be the collection of all holomorphic mappings f from the open unit disc 𝔻 ⊂ ℂ into U such that f(𝔻) is dense in U. We prove the lineability and density of ℱ in appropriate spaces for different choices of U.
LA - eng
KW - holomorphic functions; lineability
UR - http://eudml.org/doc/285674
ER -
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