Spectrum of certain Banach algebras and ∂̅-problems

Linus Carlsson, Urban Cegrell, and Anders Fällström. "Spectrum of certain Banach algebras and ∂̅-problems." Annales Polonici Mathematici 90.1 (2007): 51-58. <http://eudml.org/doc/280626>.

@article{LinusCarlsson2007,
abstract = {We study the spectrum of certain Banach algebras of holomorphic functions defined on a domain Ω where ∂̅-problems with certain estimates can be solved. We show that the projection of the spectrum onto ℂⁿ equals Ω̅ and that the fibers over Ω are trivial. This is used to solve a corona problem in the special case where all but one generator are continuous up to the boundary.},
author = {Linus Carlsson, Urban Cegrell, Anders Fällström},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic functions; Banach algebras; corona problem; Shilov boundary; -problems},
language = {eng},
number = {1},
pages = {51-58},
title = {Spectrum of certain Banach algebras and ∂̅-problems},
url = {http://eudml.org/doc/280626},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Linus Carlsson
AU - Urban Cegrell
AU - Anders Fällström
TI - Spectrum of certain Banach algebras and ∂̅-problems
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 1
SP - 51
EP - 58
AB - We study the spectrum of certain Banach algebras of holomorphic functions defined on a domain Ω where ∂̅-problems with certain estimates can be solved. We show that the projection of the spectrum onto ℂⁿ equals Ω̅ and that the fibers over Ω are trivial. This is used to solve a corona problem in the special case where all but one generator are continuous up to the boundary.
LA - eng
KW - holomorphic functions; Banach algebras; corona problem; Shilov boundary; -problems
UR - http://eudml.org/doc/280626
ER -