Dolbeault J., Esteban Maria J., Sere E. On the eigenvalues of operators with gaps. Application to Dirac operators II. (448K, Postscript) ABSTRACT. This paper is an improved version of mp-arc 99-199. In the present version, we introduce a new abstract continuation principle. With this principle, the study of the Dirac operator with Coulomb-like potential is greatly simplified and additional results are easily obtained.