Examines the equivalence of root function systems in Lebesgue spaces for Dirac operators, indicating important theoretical connections.
For the Dirac operator on a finite interval with integrable potential and separated boundary conditions and the unperturbed operator with zero potential and the same boundary conditions, we study whether the root function systems of these two operators are equivalent in the scale of Lebesgue spaces. The results obtained are close to the classical theorems proved at the end of the last century by A.M. Gomilko, G.V. Radzievskii, and A.M. Sedletskii.
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Savchuk et al. (2025) studied this question.
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