On the similarity of a J-nonnegative Sturm-Liouville operator to a self-adjoint operator

被引：0

作者：

I. M. Karabash

A. S. Kostenko

机构：

[1] National Academy of Sciences of Ukraine,Institute of Applied Mathematics and Mechanics

来源：

Functional Analysis and Its Applications | 2009年 / 43卷

关键词：

-nonnegative operator; critical point; similarity to a self-adjoint operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In terms of Weyl-Titchmarsh m-functions, we obtain a new necessary condition for an indefinite Sturm-Liouville operator to be similar to a self-adjoint operator. This condition is used to construct examples of J-nonnegative Sturm-Liouville operators with singular critical point zero.

引用

页码：65 / 68

页数：3

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