A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions

DOI10.1016/j.jde.2012.04.002zbMath1251.34100arXiv1104.4846OpenAlexW1994608784MaRDI QIDQ432435

V. A. Tkachenko, Friedrich Gesztesy

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4846

zbMATH Keywords

Riesz basisSchauder basisnon-self-adjoint Schrödinger operatorsperiodic and antiperiodic boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

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