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/