@Article{Malejki2014,
author = "Malejki, Maria",
title = "Asymptotics of the discrete spectrum for complex Jacobi matrices",
journal = "Opuscula Math.",
year = "2014",
volume = "34",
number = "1",
pages = "139--160",
doi = "http://dx.doi.org/10.7494/OpMath.2014.34.1.139",
url = "http://dx.doi.org/10.7494/OpMath.2014.34.1.139",
abstract = "The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in \(l^2(\mathbb{N})\).",
keywords = "tridiagonal matrix, complex Jacobi matrix, discrete spectrum, eigenvalue, asymptotic formula, unbounded operator, Riesz projection",
issn = "1232-9274"
}