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On Non-selfadjoint Operators with Finite Discrete Spectrum

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Spectral Theory and Mathematical Physics

Part of the book series: Latin American Mathematics Series ((LAMSUFSC))

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Abstract

We consider some compact non-selfadjoint perturbations of fibered one-dimensional discrete Schrödinger operators. We show that the perturbed operator exhibits finite discrete spectrum under suitable regularity conditions.

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Acknowledgements

O. Bourget is supported by the Chilean Fondecyt Grant 1161732. D. Sambou is supported by the Chilean Fondecyt Grant 3170411. A. Taarabt is supported by Fondecyt grant 11190084.

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Correspondence to Olivier Bourget , Diomba Sambou or Amal Taarabt .

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Bourget, O., Sambou, D., Taarabt, A. (2020). On Non-selfadjoint Operators with Finite Discrete Spectrum. In: Miranda, P., Popoff, N., Raikov, G. (eds) Spectral Theory and Mathematical Physics. Latin American Mathematics Series(). Springer, Cham. https://doi.org/10.1007/978-3-030-55556-6_4

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