Generalized Jacobi operators in Krein spaces

被引：8
|
作者：
Derevyagin, Maxim [1 ]
机构：
[1] Ukrainian Acad Sci, Inst Appl Math & Mech, Dept Nonlinear Anal, UA-83114 Donetsk, Ukraine
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 349卷 / 02期
关键词：
Generalized Jacobi matrix; Associated polynomials; Weyl function; Continued fraction; Pade approximant; MATRICES; FINITE;
D O I：
10.1016/j.jmaa.2008.09.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A special class of generalized Jacobi operators which are self-adjoint in Krein spaces is presented. A description of the resolvent set of such operators in terms of solutions of the corresponding recurrence relations is given. In particular, special attention is paid to the periodic generalized Jacobi operators. Finally, the spectral properties of generalized Jacobi operators are applied to prove convergence results for Pade approximants. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：568 / 582
页数：15
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