Geodesic
Standard ideals in convolution Sobolev algebras on the half-line
José E. Galé1 ; Antoni Wawrzyńczyk2
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
Colloquium Mathematicum, Tome 124 (2011) no. 1, pp. 23-34.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm124-1-3
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

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. http://geodesic.mathdoc.fr/articles/10.4064/cm124-1-3/

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