Geodesic
Partial Differential Equations/Mathematical Physics
On the essential spectrum of magnetic pseudodifferential operators
[Sur le spectre essentiel des opérateurs pseudodifférentiels magnétiques]

Présenté par : Jean-Michel Bony

Măntoiu, Marius1 ; Purice, Radu1 ; Richard, Serge2
1 Institute of Mathematics Simion Stoilow of the Romanian Academy, P.O. Box 1-764, Bucharest, RO-014700, Romania
2 Université de Lyon, Lyon, F-69003, France; Université Lyon 1, Institut Camille Jordan, Villeurbanne Cedex, F-69622, France; CNRS, UMR 5208, Villeurbanne Cedex, F-69622, France
Comptes Rendus. Mathématique, Tome 344 (2007) no. 1, pp. 11-14.

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We study magnetic pseudodifferential operators associated with elliptic symbols and with anisotropic potentials. We prove affiliation to suitable C∗-algebras and give formulae for the essential spectrum as a union of spectra of some asymptotic operators.

Nous étudions des opérateurs pseudodifférentiels magnétiques associés à des symboles elliptiques et ayant des potentiels anisotropes. Nous démontrons leur affiliation à certaines C∗-algèbres et nous donnons des formules pour le spectre essentiel comme une union des spectres de certains opérateurs asymptotiques.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.11.001

Măntoiu, Marius 1 ; Purice, Radu 1 ; Richard, Serge 2

1 Institute of Mathematics Simion Stoilow of the Romanian Academy, P.O. Box 1-764, Bucharest, RO-014700, Romania
2 Université de Lyon, Lyon, F-69003, France; Université Lyon 1, Institut Camille Jordan, Villeurbanne Cedex, F-69622, France; CNRS, UMR 5208, Villeurbanne Cedex, F-69622, France 
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Măntoiu, Marius; Purice, Radu; Richard, Serge. On the essential spectrum of magnetic pseudodifferential operators. Comptes Rendus. Mathématique, Tome 344 (2007) no. 1, pp. 11-14. doi : 10.1016/j.crma.2006.11.001. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2006.11.001/

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