Trivial generators for nontrivial fibres
Mathematica Bohemica (2008)
- Volume: 133, Issue: 2, page 121-131
- ISSN: 0862-7959
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topCarlsson, Linus. "Trivial generators for nontrivial fibres." Mathematica Bohemica 133.2 (2008): 121-131. <http://eudml.org/doc/250524>.
@article{Carlsson2008,
abstract = {Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in $\mathbb \{C\}^\{n\}$ where the fibre is nontrivial, has to exceed $n$. This is shown not to be the case.},
author = {Carlsson, Linus},
journal = {Mathematica Bohemica},
keywords = {holomorphic function; Banach algebra; generator; holomorphic function; Banach algebra; generator},
language = {eng},
number = {2},
pages = {121-131},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Trivial generators for nontrivial fibres},
url = {http://eudml.org/doc/250524},
volume = {133},
year = {2008},
}
TY - JOUR
AU - Carlsson, Linus
TI - Trivial generators for nontrivial fibres
JO - Mathematica Bohemica
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 133
IS - 2
SP - 121
EP - 131
AB - Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in $\mathbb {C}^{n}$ where the fibre is nontrivial, has to exceed $n$. This is shown not to be the case.
LA - eng
KW - holomorphic function; Banach algebra; generator; holomorphic function; Banach algebra; generator
UR - http://eudml.org/doc/250524
ER -
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