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 
@article{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 Mathematicum},
     pages = {23--34},
     publisher = {mathdoc},
     volume = {124},
     number = {1},
     year = {2011},
     doi = {10.4064/cm124-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm124-1-3/}
}
TY  - JOUR
AU  - José E. Galé
AU  - Antoni Wawrzyńczyk
TI  - Standard ideals in  convolution Sobolev algebras on the half-line
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 23
EP  - 34
VL  - 124
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm124-1-3/
DO  - 10.4064/cm124-1-3
LA  - en
ID  - 10_4064_cm124_1_3
ER  - 
%0 Journal Article
%A José E. Galé
%A Antoni Wawrzyńczyk
%T Standard ideals in  convolution Sobolev algebras on the half-line
%J Colloquium Mathematicum
%D 2011
%P 23-34
%V 124
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm124-1-3/
%R 10.4064/cm124-1-3
%G en
%F 10_4064_cm124_1_3
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

Cité par Sources :