Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications
type: Item
instance of: scholarly article
title: Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications
zbMATH Open document ID: 0879.47009
author: Marie-Thérèse Aimar
author: Abdelkader Intissar
author: Jean-Martin Paoli
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1998-01-05T00:00:00Z
review text: Summary: We establish sufficient conditions on the denseness of the generalized eigenvectors for a class of compact (or compact resolvent) non self adjoint operators. We can apply our results to operators arising in many fields, particularly in field theory and in abstract second order differential equations. Our results generalize some results of the authors, C. R. Acad. Sci., Paris, Ser. I 315, 393-396 (1992; Zbl 0790.47014) and Commun. Math. Phys. 156, No. 1, 169-177 (1993; Zbl 0795.47010) Macaev and Keldysh and Dunford-Schwartz.
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 47A70
Mathematics Subject Classification ID: 35P10
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 47B07
zbMATH DE Number: 927846
zbMATH Keywords: denseness of the generalized eigenvectors
zbMATH Keywords: compact resolvent
zbMATH Keywords: self adjoint operators
zbMATH Keywords: field theory
zbMATH Keywords: abstract second order differential equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195162962
OpenAlex ID: W2022997142
DOI: 10.2977/PRIMS/1195162962
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description: scientific article; zbMATH DE number 927846