Direct and inverse spectral continuity for Dirac operatorsBessonov, Roman V. (Avtor) Gubkin, Pavel (Avtor) Dirac operatorsKronig-Penney modelPeriodic spectral dataSchur algorithmNLFTThe half-line Dirac operators with $L^2$-potentials can be characterized by their spectral data. It is known that the spectral correspondence is a homeomorphism: close potentials give rise to close spectral data and vice versa. We prove the first explicit two-sided uniform estimate related to this continuity in the general $L^2$-case. The proof is based on an exact solution of the inverse spectral problem for Dirac operators with $\delta$-interactions on a half-lattice in terms of the Schur’s algorithm for analytic functions.20262026-05-14 09:46:16Neznano29381sl