On the location of the discrete spectrum for complex Jacobi matrices
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- by I. Egorova and L. Golinskii PDF
- Proc. Amer. Math. Soc. 133 (2005), 3635-3641 Request permission
Abstract:
We study spectrum inclusion regions for complex Jacobi matrices that are compact perturbations of the discrete Laplacian. The condition sufficient for the lack of a discrete spectrum for such matrices is given.References
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Additional Information
- I. Egorova
- Affiliation: Institute of Low Temperatures, National Academy of Sciences of Ukraine, 61103 Kharkov, Ukraine
- MR Author ID: 213624
- Email: egorova@ilt.kharkov.ua
- L. Golinskii
- Affiliation: Institute of Low Temperature Physics, National Academy of Sciences of Ukraine, 61103 Kharkov, Ukraine
- MR Author ID: 196910
- Email: golinskii@ilt.kharkov.ua
- Received by editor(s): August 18, 2004
- Published electronically: June 28, 2005
- Additional Notes: This work was partially supported by INTAS grant no. 03-51-6637.
- Communicated by: Andreas Seeger
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3635-3641
- MSC (2000): Primary 47B36; Secondary 47A55
- DOI: https://doi.org/10.1090/S0002-9939-05-08181-5
- MathSciNet review: 2163601