Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications (Q1922288)

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.