1Departamento de Matemáticas e IUMA Universidad de Zaragoza 50009 Zaragoza, Spain 2Departamento de Matemáticas Universidad Autónoma Metropolitana-Iztapalapa AP 55-534, 09340 México D.F., México
Colloquium Mathematicum, Tome 124 (2011) no. 1, pp. 23-34
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.
Keywords:
study relation between standard ideals convolution sobolev algebra mathcal convolution beurling algebra half line infty particular proved closed ideals mathcal compact countable hull standard
Affiliations des auteurs :
José E. Galé 
1
;
Antoni Wawrzyńczyk 
2
1
Departamento de Matemáticas e IUMA Universidad de Zaragoza 50009 Zaragoza, Spain
2
Departamento de Matemáticas Universidad Autónoma Metropolitana-Iztapalapa AP 55-534, 09340 México D.F., México
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José E. Galé; Antoni Wawrzyńczyk. Standard ideals in convolution Sobolev algebras on the half-line. Colloquium Mathematicum, Tome 124 (2011) no. 1, pp. 23-34. doi: 10.4064/cm124-1-3