Regular approximations of spectra of singular second-order symmetric linear difference equations

被引：6
|
作者：
Liu, Yan [1 ]
Shi, Yuming [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 444卷
关键词：
Symmetric linear difference equation; Self-adjoint subspace extension; Regular approximation; Spectral inclusion; Spectral exactness; SELF-ADJOINT EXTENSIONS; EIGENFUNCTION-EXPANSIONS; EIGENVALUES; CONVERGENCE; INCLUSION; EXACTNESS; OPERATORS;
D O I：
10.1016/j.laa.2013.11.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with regular approximations of spectra of singular second-order symmetric linear difference equations. For any given self-adjoint subspace extension of the corresponding minimal subspace, its spectrum can be approximated by eigen-values of a sequence of regular self-adjoint subspace extensions generated by the same difference expression on smaller finite intervals. (C) 2013 Elsevier Inc. All rights reserved.
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页码：183 / 210
页数：28
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