The structure of closed ideals of a regular algebra containing the classical A∞ is considered. Several division and approximation results are proved and a characterization of those ideals whose intersection with A∞ is not {0} is obtained. A complete description of the ideals with countable hull is given, with applications to synthesis of hyperfunctions.
@article{urn:eudml:doc:41343,
title = {Ide\'aux ferm\'es d'une alg\`ebre de Beurling r\'eguli\`ere.},
journal = {Publicacions Matem\`atiques},
volume = {42},
year = {1998},
pages = {461-497},
mrnumber = {MR1676039},
zbl = {0940.46029},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41343}
}
Decreux, Eric. Ideáux fermés d'une algèbre de Beurling régulière.. Publicacions Matemàtiques, Tome 42 (1998) pp. 461-497. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41343/