We study the relation between standard ideals of the convolution Sobolev algebra and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in with compact and countable hull are standard.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-1-3, author = {Jos\'e E. Gal\'e and Antoni Wawrzy\'nczyk}, title = {Standard ideals in convolution Sobolev algebras on the half-line}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {23-34}, zbl = {1238.46045}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-1-3} }
José E. Galé; Antoni Wawrzyńczyk. Standard ideals in convolution Sobolev algebras on the half-line. Colloquium Mathematicae, Tome 122 (2011) pp. 23-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-1-3/