On the spectral theory of singular indefinite Sturm-Liouville operators

被引：21

作者：

Behrndt, Jussi ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 334卷 / 02期

关键词：

Sturm-Liouville operators; Krein spaces; definitizable operators;

D O I：

10.1016/j.jmaa.2007.01.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a singular Sturm-Liouville differential expression with an indefinite weight function and we show that the corresponding self-adjoint differential operator in a Krein space locally has the same spectral properties as a definitizable operator. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1439 / 1449

页数：11

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