On the Riesz inequality and the basis property of systems of root vector functions of a discontinuous Dirac operator

DOI10.1134/S0012266119080056zbMath1447.34075OpenAlexW2972401417WikidataQ127243340 ScholiaQ127243340MaRDI QIDQ2009906

Yanyan Li

Publication date: 3 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119080056

zbMATH Keywords

Dirac operatorroot vector

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

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Cites Work

• On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
• Riesz inequality for systems of root vector functions of the Dirac operator
• Two-sided estimates for root vector functions of the Dirac operator
• Bari-Markus property for Dirac operators
• Inverse problem for a class of Dirac operator
• Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion
• Absolute and uniform convergence of expansions in the root vector functions of the Dirac operator
• The Riesz basis property with brackets for Dirac systems with summable potentials
• The Dirac operator with complex-valued summable potential
• An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
• Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• Bicontinuous linear transformations in certain vector spaces
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