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Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators” [J. Funct. Anal. 174 (1) (2000) 208–226]

Dolbeault, Jean; Esteban, Maria J.; Séré, Eric (2023), Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators” [J. Funct. Anal. 174 (1) (2000) 208–226], Journal of Functional Analysis, 284, 1. 10.1016/j.jfa.2022.109651

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Type
Article accepté pour publication ou publié
Date
2023
Nom de la revue
Journal of Functional Analysis
Volume
284
Numéro
1
Éditeur
Elsevier
Identifiant publication
Métadonnées
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Auteur(s)
Dolbeault, Jean cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J. cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Séré, Eric
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Résumé (EN)
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like potential. The result is optimal for the Coulomb potential.
Mots-clés
Self-adjoint operators; Dirac operators; Min-max principle; Eigenvalues