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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the location of the discrete spectrum for complex Jacobi matrices


Authors: I. Egorova and L. Golinskii
Journal: Proc. Amer. Math. Soc. 133 (2005), 3635-3641
MSC (2000): Primary 47B36; Secondary 47A55
Published electronically: June 28, 2005
MathSciNet review: 2163601
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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.


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Additional Information

I. Egorova
Affiliation: Institute of Low Temperatures, National Academy of Sciences of Ukraine, 61103 Kharkov, Ukraine
Email: egorova@ilt.kharkov.ua

L. Golinskii
Affiliation: Institute of Low Temperature Physics, National Academy of Sciences of Ukraine, 61103 Kharkov, Ukraine
Email: golinskii@ilt.kharkov.ua

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08181-5
PII: S 0002-9939(05)08181-5
Keywords: Complex Jacobi matrices, spectrum inclusion regions, Jost function, complex perturbation
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
Article copyright: © Copyright 2005 American Mathematical Society