G-convergence of Dirac operators
Journal article, 2012

We consider the linear Dirac operator with a (−1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for positive self-adjoint operators in Hilbert spaces we prove G-compactness in the strong resolvent sense for families of projections of Dirac operators. We also prove convergence of the corresponding point spectrum in the spectral gap.


Hasan Almanasreh

University of Gothenburg

Chalmers, Mathematical Sciences

Nils Svanstedt

Chalmers, Mathematical Sciences

University of Gothenburg

Journal of Function Spaces and Applications

0972-6802 (ISSN) 1758-4965 (eISSN)

Vol. 2012 Article ID 789875, 13 pages-

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Other Mathematics



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