A note on discrete Borg-type theorems

DOI10.1080/03081087.2017.1356801zbMath1502.47043arXiv1609.06518OpenAlexW2741912848MaRDI QIDQ4640109

G. Krishna Kumar, V. B. Kiran Kumar

Publication date: 16 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06518

zbMATH Keywords

Schrödinger operatorspectrumBorg-type theoremsLaurent-Toeplitz operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Preconditioners in spectral approximation
• Perturbation of operators and approximation of spectrum
• Banach algebra techniques to compute spectra, pseudospectra and condition spectra of some block operators with continuous symbols
• The Ten Martini problem
• Spectral approximation for quasiperiodic Jacobi operators
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• Can One Hear the Shape of a Drum?
• Toeplitz Operators with Piecewise Quasisectorial Symbols
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