On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

Kappeler, T; Serier, F; Topalov, P (2009). On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators. Journal of Functional Analysis, 256(7):2069-2112.

Abstract

In this paper we consider periodic Dirac operators with skew-adjoint potentials in a large class of weighted Sobolev spaces. We characterize the smoothness of such potentials by asymptotic properties of the periodic spectrum of the corresponding Dirac operators.

Abstract

In this paper we consider periodic Dirac operators with skew-adjoint potentials in a large class of weighted Sobolev spaces. We characterize the smoothness of such potentials by asymptotic properties of the periodic spectrum of the corresponding Dirac operators.

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