On the essential spectrum of magnetic pseudodifferential operators

Marius Măntoiu; Radu Purice; Serge Richard

doi:10.1016/j.crma.2006.11.001

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

Marius Măntoiu ¹ ; Radu Purice ¹ ; Serge Richard 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

Comptes Rendus. Mathématique, Volume 344 (2007) no. 1, pp. 11-14.

Abstract (VO)
Résumé

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 : 2006-02-14
Accepté le : 2006-11-02
Publié le : 2006-12-11

DOI : 10.1016/j.crma.2006.11.001

Affiliations des auteurs :

Marius Măntoiu ¹ ; Radu Purice ¹ ; Serge Richard 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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     title = {On the essential spectrum of magnetic pseudodifferential operators},
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     pages = {11--14},
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     number = {1},
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     doi = {10.1016/j.crma.2006.11.001},
     language = {en},
}

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Marius Măntoiu; Radu Purice; Serge Richard. On the essential spectrum of magnetic pseudodifferential operators. Comptes Rendus. Mathématique, Volume 344 (2007) no. 1, pp. 11-14. doi : 10.1016/j.crma.2006.11.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.001/

Bibliographie
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