Standard ideals in convolution Sobolev algebras on the half-line
Volume 124 / 2011
Colloquium Mathematicum 124 (2011), 23-34
MSC: Primary 46J15, 46J20; Secondary 26A46, 42A85, 43A20.
DOI: 10.4064/cm124-1-3
Abstract
We study the relation between standard ideals of the convolution Sobolev algebra $\mathcal T_+^{(n)}(t^n)$ and the convolution Beurling algebra $L^1((1+t)^n)$ on the half-line $(0,\infty)$. In particular it is proved that all closed ideals in $\mathcal T_+^{(n)}(t^n)$ with compact and countable hull are standard.
