Abstract. For one-dimensional Dirac operators of the form (original) (raw)

This work investigates one-dimensional Dirac operators characterized by periodic matrix potentials, focusing on a specific class of potentials that limit the complexity of associated functions. The class is defined by the decay of related spectral gaps and the existence of Riesz bases for eigenfunctions under periodic and antiperiodic boundary conditions. The findings contribute to the understanding of the spectral properties of these operators, relating them to those of Schrödinger operators through established methodologies.