ASYMPTOTICS OF THE DISCRETE SPECTRUM FOR COMPLEX JACOBI MATRICES

被引：4
作者：
Malejki, Maria [1 ]
机构：
[1] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
来源：
OPUSCULA MATHEMATICA | 2014年 / 34卷 / 01期
关键词：
tridiagonal matrix; complex Jacobi matrix; discrete spectrum; eigenvalue; asymptotic formula; unbounded operator; Riesz projection;
D O I：
10.7494/OpMath.2014.34.1.139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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) (N).
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页码：139 / 160
页数：22
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