Bari-Markus property for Riesz projections of Hill operators with singular potentials

zbMath1185.34130arXiv0803.3170MaRDI QIDQ3633904

Boris S. Mityagin, Plamen Djakov

Publication date: 23 June 2009

Full work available at URL: https://arxiv.org/abs/0803.3170

zbMATH Keywords

singular potentialHill operatorRiesz projectionsperiodic/antiperiodic/Dirichlet spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) General theory of ordinary differential operators (47E05)

Related Items (7)

Eigensystem of an \(L ^{2}\)-perturbed harmonic oscillator is an unconditional basis ⋮ Divergence of spectral decompositions of Hill operators with two exponential term potentials ⋮ Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials ⋮ Bari–Markus property for Riesz projections of 1D periodic Dirac operators ⋮ Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators ⋮ On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations ⋮ Local form-subordination condition and Riesz basisness of root systems

This page was built for publication: Bari-Markus property for Riesz projections of Hill operators with singular potentials