Bari–Markus property for Riesz projections of 1D periodic Dirac operators

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The Dirac operators

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On the Riesz basis property of root vectors system for $2 \times 2$ Dirac type operators (2015, methodology): “(iii) The Bari-Markus property of the Riesz projectors of unperturbed and perturbed BVPs for separated, periodic and antiperiodic boundary conditions was established in [8] and reproved by another method in [3].”
On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations (2012, background): “Namely, in [39] and [7] they proved the Riesz basis property of subspaces (spectral projections) for 2 × 2 Dirac system with periodic and antiperiodic BC.”
Dirac operator with complex-valued summable potential (2014, unknown): “, например, работу [3] и литературу в ней).”
Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions (2010, background): “If ρ = 1/2, then Proposition 17 is identical with Proposition 6 in [9].”