Open AccessAsymptotics of the discrete spectrum for complex Jacobi matrices
Author(s) -
Maria Malejki
Publication year - 2014
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2014.34.1.139
Subject(s) - mathematics , spectrum (functional analysis) , discrete spectrum , pure mathematics , eigenvalues and eigenvectors , quantum mechanics , physics
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 \(l^2(\mathbb{N})\)
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom