Jacobi matrices with absolutely continuous spectrum

Let J be a Jacobi matrix defined in l^2 as Re W, where W is a unilateral weighted shift with nonzero weights \lambda_k such that \lim_k \lambda_k = 1. Define the seqences: \varepsilon_k:= \frac{\lambda_{k-1}}{\lambda_k} -1, \delta_k:= \frac{\lambda_k -1}{\lambda_k}, \eta_k:= 2 \delta_k + \varepsilon...

Full description

Bibliographic Details

Published in:	Proceedings of the American Mathematical Society Vol. 127; no. 3; pp. 791 - 800
Main Authors:	Janas, Jan, Naboko, Serguei
Format:	Journal Article
Language:	English
Published:	American Mathematical Society 01-03-1999
Subjects:	Continuous spectra Mathematics Matrices Jacobi matrix absolutely continuous spectrum asymptotics behaviour
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!