The Riesz basis property with brackets for Dirac systems with summable potentials

DOI10.1007/S10958-018-3941-7zbMath1409.34073OpenAlexW2882979704MaRDI QIDQ1991394

I. V. Sadovnichaya, Artem M. Savchuk

Publication date: 30 October 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3941-7

zbMATH Keywords

Riesz basisdiscrete spectrumDirac system

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) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (9)

Estimates of spectral gap lengths for Schrödinger and Dirac operators ⋮ Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions ⋮ On convergence of spectral expansions of Dirac operators with regular boundary conditions ⋮ On the properties of the root vector function systems of a \(2m\)th-order Dirac type operator with an integrable potential ⋮ Regular boundary value problems for the Dirac operator ⋮ On the Riesz inequality and the basis property of systems of root vector functions of a discontinuous Dirac operator ⋮ Spectral properties of the Dirac operator with a nonsmooth potential of the general form and operator groups ⋮ On the existence of an operator group generated by the one-dimensional Dirac system ⋮ Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems

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