Spectral bounds for periodic Jacobi matrices

Hati̇noğlu, Burak

doi:10.1090/proc/16874

Spectral bounds for periodic Jacobi matrices
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by Burak Hati̇noğlu;

Proc. Amer. Math. Soc. 152 (2024), 3915-3922

DOI: https://doi.org/10.1090/proc/16874

Published electronically: July 29, 2024

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Abstract:

We consider periodic Jacobi operators and obtain upper and lower estimates on the sizes of the spectral bands. Our proofs are based on estimates on the logarithmic capacities and connections between the Chebyshev polynomials and logarithmic capacity of compact subsets of the real line.

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Spectral bounds for periodic Jacobi matrices
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Abstract: