Isospectrum of non-self-adjoint almost-periodic Schrödinger operators
Xueyin Wang
Nankai University, Tianjin, P. R. ChinaJiangong You
Nankai University, Tianjin, P. R. ChinaQi Zhou
Nankai University, Tianjin, P. R. China
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Abstract
For non-self-adjoint almost-periodic Schrödinger operators, a criterion is given to guarantee that they have both the same spectrum and the same Lyapunov exponents with the discrete free Laplacian. As a byproduct, we show that the Moser–Pöschel argument for opening gaps may not be valid for non-self-adjoint operators.
Cite this article
Xueyin Wang, Jiangong You, Qi Zhou, Isospectrum of non-self-adjoint almost-periodic Schrödinger operators . J. Spectr. Theory 14 (2024), no. 1, pp. 355–396
DOI 10.4171/JST/487