Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum.
type: Item
instance of: scholarly article
title: Asymptotics of eigenvalues for a class of Jacobi matrices with a limit point spectrum.
zbMATH Open document ID: 1081.47037
DOI: 10.1023/A:1026171122104
author: Eh. A. Tur
published in: Mathematical Notes
publication date: 2004-12-02T00:00:00Z
review text: The author considers a class of compact, self-adjoint operators on \(\ell_2\) induced by Jacobi tridiagonal matrices with zero main diagonal and very rapidly decreasing weights. The Weyl function is studied and asymptotic estimates for the eigenvalues are obtained.
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 2121054
zbMATH Keywords: Jacobi matrix
zbMATH Keywords: asymptotics of eigenvalues of Jacobi matrices
zbMATH Keywords: self-adjoint operator
zbMATH Keywords: Weyl function
zbMATH Keywords: Stone's formula
zbMATH Keywords: Hardy's method
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: a:1026171122104
OpenAlex ID: W89766907
description: scientific article; zbMATH DE number 2121054